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Finding the Third Proportional to 40,277,760 and 86,973,411

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Solution

The third proportional to 40,277,760 and 86,973,411 is: 187,805,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,277,760 : 86,973,411 = 86,973,411 : x
  2. Step 2: Convert to fraction form
    40,277,760/86,973,411 = 86,973,411/x
  3. Step 3: Cross multiply
    40,277,760x = 86,973,411 × 86,973,411
  4. Step 4: Simplify right side
    40,277,760x = 7,564,374,220,974,921
  5. Step 5: Solve for x
    x = 7,564,374,220,974,921/40,277,760
  6. Step 6: Final answer
    x = 187,805,235.97

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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.