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Finding the Third Proportional to 9,657,408 and 14,487,264

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Solution

The third proportional to 9,657,408 and 14,487,264 is: 21,732,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,408 : 14,487,264 = 14,487,264 : x
  2. Step 2: Convert to fraction form
    9,657,408/14,487,264 = 14,487,264/x
  3. Step 3: Cross multiply
    9,657,408x = 14,487,264 × 14,487,264
  4. Step 4: Simplify right side
    9,657,408x = 209,880,818,205,696
  5. Step 5: Solve for x
    x = 209,880,818,205,696/9,657,408
  6. Step 6: Final answer
    x = 21,732,624.14

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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.