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Finding the Third Proportional to 10,143,311.06 and 15,708,681.84

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Solution

The third proportional to 10,143,311.06 and 15,708,681.84 is: 24,327,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143,311.06 : 15,708,681.84 = 15,708,681.84 : x
  2. Step 2: Convert to fraction form
    10,143,311.06/15,708,681.84 = 15,708,681.84/x
  3. Step 3: Cross multiply
    10,143,311.06x = 15,708,681.84 × 15,708,681.84
  4. Step 4: Simplify right side
    10,143,311.06x = 246,762,685,268,160.91
  5. Step 5: Solve for x
    x = 246,762,685,268,160.91/10,143,311.06
  6. Step 6: Final answer
    x = 24,327,626.72

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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.