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Finding the Third Proportional to 21,683,624 and 29,734,113

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Solution

The third proportional to 21,683,624 and 29,734,113 is: 40,773,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683,624 : 29,734,113 = 29,734,113 : x
  2. Step 2: Convert to fraction form
    21,683,624/29,734,113 = 29,734,113/x
  3. Step 3: Cross multiply
    21,683,624x = 29,734,113 × 29,734,113
  4. Step 4: Simplify right side
    21,683,624x = 884,117,475,896,769
  5. Step 5: Solve for x
    x = 884,117,475,896,769/21,683,624
  6. Step 6: Final answer
    x = 40,773,510.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.