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Finding the Third Proportional to 61,317,699 and 133,521,798

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Solution

The third proportional to 61,317,699 and 133,521,798 is: 290,749,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,317,699 : 133,521,798 = 133,521,798 : x
  2. Step 2: Convert to fraction form
    61,317,699/133,521,798 = 133,521,798/x
  3. Step 3: Cross multiply
    61,317,699x = 133,521,798 × 133,521,798
  4. Step 4: Simplify right side
    61,317,699x = 17,828,070,541,152,804
  5. Step 5: Solve for x
    x = 17,828,070,541,152,804/61,317,699
  6. Step 6: Final answer
    x = 290,749,177.35

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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.