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Finding the Third Proportional to 7,242,453 and 15,730,470

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Solution

The third proportional to 7,242,453 and 15,730,470 is: 34,166,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242,453 : 15,730,470 = 15,730,470 : x
  2. Step 2: Convert to fraction form
    7,242,453/15,730,470 = 15,730,470/x
  3. Step 3: Cross multiply
    7,242,453x = 15,730,470 × 15,730,470
  4. Step 4: Simplify right side
    7,242,453x = 247,447,686,420,900
  5. Step 5: Solve for x
    x = 247,447,686,420,900/7,242,453
  6. Step 6: Final answer
    x = 34,166,281.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.