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Finding the Third Proportional to 56,866,475,766 and 125,106,047,782.50

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Solution

The third proportional to 56,866,475,766 and 125,106,047,782.50 is: 275,232,867,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,866,475,766 : 125,106,047,782.50 = 125,106,047,782.50 : x
  2. Step 2: Convert to fraction form
    56,866,475,766/125,106,047,782.50 = 125,106,047,782.50/x
  3. Step 3: Cross multiply
    56,866,475,766x = 125,106,047,782.50 × 125,106,047,782.50
  4. Step 4: Simplify right side
    56,866,475,766x = 15,651,523,191,757,172,899,840
  5. Step 5: Solve for x
    x = 15,651,523,191,757,172,899,840/56,866,475,766
  6. Step 6: Final answer
    x = 275,232,867,536.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.