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Finding the Third Proportional to 61,398,999 and 133,909,779

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Solution

The third proportional to 61,398,999 and 133,909,779 is: 292,054,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398,999 : 133,909,779 = 133,909,779 : x
  2. Step 2: Convert to fraction form
    61,398,999/133,909,779 = 133,909,779/x
  3. Step 3: Cross multiply
    61,398,999x = 133,909,779 × 133,909,779
  4. Step 4: Simplify right side
    61,398,999x = 17,931,828,911,828,840
  5. Step 5: Solve for x
    x = 17,931,828,911,828,840/61,398,999
  6. Step 6: Final answer
    x = 292,054,092.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.