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Finding the Third Proportional to 8,654,483.25 and 13,704,152.63

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Solution

The third proportional to 8,654,483.25 and 13,704,152.63 is: 21,700,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654,483.25 : 13,704,152.63 = 13,704,152.63 : x
  2. Step 2: Convert to fraction form
    8,654,483.25/13,704,152.63 = 13,704,152.63/x
  3. Step 3: Cross multiply
    8,654,483.25x = 13,704,152.63 × 13,704,152.63
  4. Step 4: Simplify right side
    8,654,483.25x = 187,803,799,169,294.38
  5. Step 5: Solve for x
    x = 187,803,799,169,294.38/8,654,483.25
  6. Step 6: Final answer
    x = 21,700,174.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.