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Finding the Third Proportional to 12,664,214 and 29,865,731

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Solution

The third proportional to 12,664,214 and 29,865,731 is: 70,431,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664,214 : 29,865,731 = 29,865,731 : x
  2. Step 2: Convert to fraction form
    12,664,214/29,865,731 = 29,865,731/x
  3. Step 3: Cross multiply
    12,664,214x = 29,865,731 × 29,865,731
  4. Step 4: Simplify right side
    12,664,214x = 891,961,888,164,361
  5. Step 5: Solve for x
    x = 891,961,888,164,361/12,664,214
  6. Step 6: Final answer
    x = 70,431,681.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.