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Finding the Third Proportional to 7,140,741 and 10,878,432

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Solution

The third proportional to 7,140,741 and 10,878,432 is: 16,572,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140,741 : 10,878,432 = 10,878,432 : x
  2. Step 2: Convert to fraction form
    7,140,741/10,878,432 = 10,878,432/x
  3. Step 3: Cross multiply
    7,140,741x = 10,878,432 × 10,878,432
  4. Step 4: Simplify right side
    7,140,741x = 118,340,282,778,624
  5. Step 5: Solve for x
    x = 118,340,282,778,624/7,140,741
  6. Step 6: Final answer
    x = 16,572,549.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.