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Finding the Third Proportional to 837,852,592 and 1,762,531,984

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Solution

The third proportional to 837,852,592 and 1,762,531,984 is: 3,707,715,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,852,592 : 1,762,531,984 = 1,762,531,984 : x
  2. Step 2: Convert to fraction form
    837,852,592/1,762,531,984 = 1,762,531,984/x
  3. Step 3: Cross multiply
    837,852,592x = 1,762,531,984 × 1,762,531,984
  4. Step 4: Simplify right side
    837,852,592x = 3,106,518,994,622,976,000
  5. Step 5: Solve for x
    x = 3,106,518,994,622,976,000/837,852,592
  6. Step 6: Final answer
    x = 3,707,715,443.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.