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Finding the Third Proportional to 45,689,064 and 99,712,452

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Solution

The third proportional to 45,689,064 and 99,712,452 is: 217,613,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689,064 : 99,712,452 = 99,712,452 : x
  2. Step 2: Convert to fraction form
    45,689,064/99,712,452 = 99,712,452/x
  3. Step 3: Cross multiply
    45,689,064x = 99,712,452 × 99,712,452
  4. Step 4: Simplify right side
    45,689,064x = 9,942,573,083,852,304
  5. Step 5: Solve for x
    x = 9,942,573,083,852,304/45,689,064
  6. Step 6: Final answer
    x = 217,613,849.21

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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.