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Finding the Third Proportional to 6,159,345 and 12,708,948

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Solution

The third proportional to 6,159,345 and 12,708,948 is: 26,223,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159,345 : 12,708,948 = 12,708,948 : x
  2. Step 2: Convert to fraction form
    6,159,345/12,708,948 = 12,708,948/x
  3. Step 3: Cross multiply
    6,159,345x = 12,708,948 × 12,708,948
  4. Step 4: Simplify right side
    6,159,345x = 161,517,359,266,704
  5. Step 5: Solve for x
    x = 161,517,359,266,704/6,159,345
  6. Step 6: Final answer
    x = 26,223,138.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.