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Finding the Third Proportional to 10,482,117 and 21,472,471.50

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Solution

The third proportional to 10,482,117 and 21,472,471.50 is: 43,986,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482,117 : 21,472,471.50 = 21,472,471.50 : x
  2. Step 2: Convert to fraction form
    10,482,117/21,472,471.50 = 21,472,471.50/x
  3. Step 3: Cross multiply
    10,482,117x = 21,472,471.50 × 21,472,471.50
  4. Step 4: Simplify right side
    10,482,117x = 461,067,032,318,312.25
  5. Step 5: Solve for x
    x = 461,067,032,318,312.25/10,482,117
  6. Step 6: Final answer
    x = 43,986,060.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.