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Finding the Third Proportional to 6,543,146 and 9,932,431

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Solution

The third proportional to 6,543,146 and 9,932,431 is: 15,077,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,146 : 9,932,431 = 9,932,431 : x
  2. Step 2: Convert to fraction form
    6,543,146/9,932,431 = 9,932,431/x
  3. Step 3: Cross multiply
    6,543,146x = 9,932,431 × 9,932,431
  4. Step 4: Simplify right side
    6,543,146x = 98,653,185,569,761
  5. Step 5: Solve for x
    x = 98,653,185,569,761/6,543,146
  6. Step 6: Final answer
    x = 15,077,332.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.