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Finding the Third Proportional to 7,532,608 and 9,671,712

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Solution

The third proportional to 7,532,608 and 9,671,712 is: 12,418,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532,608 : 9,671,712 = 9,671,712 : x
  2. Step 2: Convert to fraction form
    7,532,608/9,671,712 = 9,671,712/x
  3. Step 3: Cross multiply
    7,532,608x = 9,671,712 × 9,671,712
  4. Step 4: Simplify right side
    7,532,608x = 93,542,013,010,944
  5. Step 5: Solve for x
    x = 93,542,013,010,944/7,532,608
  6. Step 6: Final answer
    x = 12,418,277.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.