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Finding the Third Proportional to 61,690,946 and 133,022,570

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Solution

The third proportional to 61,690,946 and 133,022,570 is: 286,833,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,690,946 : 133,022,570 = 133,022,570 : x
  2. Step 2: Convert to fraction form
    61,690,946/133,022,570 = 133,022,570/x
  3. Step 3: Cross multiply
    61,690,946x = 133,022,570 × 133,022,570
  4. Step 4: Simplify right side
    61,690,946x = 17,695,004,129,404,900
  5. Step 5: Solve for x
    x = 17,695,004,129,404,900/61,690,946
  6. Step 6: Final answer
    x = 286,833,081.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.