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Finding the Third Proportional to 35,584,952 and 77,695,913

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Solution

The third proportional to 35,584,952 and 77,695,913 is: 169,640,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584,952 : 77,695,913 = 77,695,913 : x
  2. Step 2: Convert to fraction form
    35,584,952/77,695,913 = 77,695,913/x
  3. Step 3: Cross multiply
    35,584,952x = 77,695,913 × 77,695,913
  4. Step 4: Simplify right side
    35,584,952x = 6,036,654,896,903,569
  5. Step 5: Solve for x
    x = 6,036,654,896,903,569/35,584,952
  6. Step 6: Final answer
    x = 169,640,664.32

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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.