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Finding the Third Proportional to 13,500,136 and 29,564,624

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Solution

The third proportional to 13,500,136 and 29,564,624 is: 64,745,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500,136 : 29,564,624 = 29,564,624 : x
  2. Step 2: Convert to fraction form
    13,500,136/29,564,624 = 29,564,624/x
  3. Step 3: Cross multiply
    13,500,136x = 29,564,624 × 29,564,624
  4. Step 4: Simplify right side
    13,500,136x = 874,066,992,261,376
  5. Step 5: Solve for x
    x = 874,066,992,261,376/13,500,136
  6. Step 6: Final answer
    x = 64,745,050.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.