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Finding the Third Proportional to 71,487,564 and 110,466,492.75

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Solution

The third proportional to 71,487,564 and 110,466,492.75 is: 170,698,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487,564 : 110,466,492.75 = 110,466,492.75 : x
  2. Step 2: Convert to fraction form
    71,487,564/110,466,492.75 = 110,466,492.75/x
  3. Step 3: Cross multiply
    71,487,564x = 110,466,492.75 × 110,466,492.75
  4. Step 4: Simplify right side
    71,487,564x = 12,202,846,020,485,802
  5. Step 5: Solve for x
    x = 12,202,846,020,485,802/71,487,564
  6. Step 6: Final answer
    x = 170,698,864.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.