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Finding the Third Proportional to 7,338,410 and 15,564,742

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Solution

The third proportional to 7,338,410 and 15,564,742 is: 33,012,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,410 : 15,564,742 = 15,564,742 : x
  2. Step 2: Convert to fraction form
    7,338,410/15,564,742 = 15,564,742/x
  3. Step 3: Cross multiply
    7,338,410x = 15,564,742 × 15,564,742
  4. Step 4: Simplify right side
    7,338,410x = 242,261,193,526,564
  5. Step 5: Solve for x
    x = 242,261,193,526,564/7,338,410
  6. Step 6: Final answer
    x = 33,012,763.46

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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.