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Finding the Third Proportional to 3,147,913.13 and 4,702,384.13

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Solution

The third proportional to 3,147,913.13 and 4,702,384.13 is: 7,024,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147,913.13 : 4,702,384.13 = 4,702,384.13 : x
  2. Step 2: Convert to fraction form
    3,147,913.13/4,702,384.13 = 4,702,384.13/x
  3. Step 3: Cross multiply
    3,147,913.13x = 4,702,384.13 × 4,702,384.13
  4. Step 4: Simplify right side
    3,147,913.13x = 22,112,416,459,052.02
  5. Step 5: Solve for x
    x = 22,112,416,459,052.02/3,147,913.13
  6. Step 6: Final answer
    x = 7,024,468.46

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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.