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Finding the Third Proportional to 14,657,792 and 21,548,352

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Solution

The third proportional to 14,657,792 and 21,548,352 is: 31,678,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657,792 : 21,548,352 = 21,548,352 : x
  2. Step 2: Convert to fraction form
    14,657,792/21,548,352 = 21,548,352/x
  3. Step 3: Cross multiply
    14,657,792x = 21,548,352 × 21,548,352
  4. Step 4: Simplify right side
    14,657,792x = 464,331,473,915,904
  5. Step 5: Solve for x
    x = 464,331,473,915,904/14,657,792
  6. Step 6: Final answer
    x = 31,678,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.