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Finding the Third Proportional to 7,338,428 and 15,564,780

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Solution

The third proportional to 7,338,428 and 15,564,780 is: 33,012,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,428 : 15,564,780 = 15,564,780 : x
  2. Step 2: Convert to fraction form
    7,338,428/15,564,780 = 15,564,780/x
  3. Step 3: Cross multiply
    7,338,428x = 15,564,780 × 15,564,780
  4. Step 4: Simplify right side
    7,338,428x = 242,262,376,448,400
  5. Step 5: Solve for x
    x = 242,262,376,448,400/7,338,428
  6. Step 6: Final answer
    x = 33,012,843.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.