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Finding the Third Proportional to 860,939,349,265.60 and 1,888,560,991,283.60

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Solution

The third proportional to 860,939,349,265.60 and 1,888,560,991,283.60 is: 4,142,757,118,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,939,349,265.60 : 1,888,560,991,283.60 = 1,888,560,991,283.60 : x
  2. Step 2: Convert to fraction form
    860,939,349,265.60/1,888,560,991,283.60 = 1,888,560,991,283.60/x
  3. Step 3: Cross multiply
    860,939,349,265.60x = 1,888,560,991,283.60 × 1,888,560,991,283.60
  4. Step 4: Simplify right side
    860,939,349,265.60x = 3,566,662,617,798,094,182,416,384
  5. Step 5: Solve for x
    x = 3,566,662,617,798,094,182,416,384/860,939,349,265.60
  6. Step 6: Final answer
    x = 4,142,757,118,536.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.