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Finding the Third Proportional to 6,541,444 and 9,748,352

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Solution

The third proportional to 6,541,444 and 9,748,352 is: 14,527,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541,444 : 9,748,352 = 9,748,352 : x
  2. Step 2: Convert to fraction form
    6,541,444/9,748,352 = 9,748,352/x
  3. Step 3: Cross multiply
    6,541,444x = 9,748,352 × 9,748,352
  4. Step 4: Simplify right side
    6,541,444x = 95,030,366,715,904
  5. Step 5: Solve for x
    x = 95,030,366,715,904/6,541,444
  6. Step 6: Final answer
    x = 14,527,429.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.