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Finding the Third Proportional to 4,537,542 and 7,029,403

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Solution

The third proportional to 4,537,542 and 7,029,403 is: 10,889,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537,542 : 7,029,403 = 7,029,403 : x
  2. Step 2: Convert to fraction form
    4,537,542/7,029,403 = 7,029,403/x
  3. Step 3: Cross multiply
    4,537,542x = 7,029,403 × 7,029,403
  4. Step 4: Simplify right side
    4,537,542x = 49,412,506,536,409
  5. Step 5: Solve for x
    x = 49,412,506,536,409/4,537,542
  6. Step 6: Final answer
    x = 10,889,707.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.