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Finding the Third Proportional to 45,947,332 and 71,136,582

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Solution

The third proportional to 45,947,332 and 71,136,582 is: 110,135,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,947,332 : 71,136,582 = 71,136,582 : x
  2. Step 2: Convert to fraction form
    45,947,332/71,136,582 = 71,136,582/x
  3. Step 3: Cross multiply
    45,947,332x = 71,136,582 × 71,136,582
  4. Step 4: Simplify right side
    45,947,332x = 5,060,413,298,642,724
  5. Step 5: Solve for x
    x = 5,060,413,298,642,724/45,947,332
  6. Step 6: Final answer
    x = 110,135,084.64

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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.