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Finding the Third Proportional to 9,657,246 and 14,487,045

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Solution

The third proportional to 9,657,246 and 14,487,045 is: 21,732,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,246 : 14,487,045 = 14,487,045 : x
  2. Step 2: Convert to fraction form
    9,657,246/14,487,045 = 14,487,045/x
  3. Step 3: Cross multiply
    9,657,246x = 14,487,045 × 14,487,045
  4. Step 4: Simplify right side
    9,657,246x = 209,874,472,832,025
  5. Step 5: Solve for x
    x = 209,874,472,832,025/9,657,246
  6. Step 6: Final answer
    x = 21,732,331.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.