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Finding the Third Proportional to 5,825,313 and 12,385,458

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Solution

The third proportional to 5,825,313 and 12,385,458 is: 26,333,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,313 : 12,385,458 = 12,385,458 : x
  2. Step 2: Convert to fraction form
    5,825,313/12,385,458 = 12,385,458/x
  3. Step 3: Cross multiply
    5,825,313x = 12,385,458 × 12,385,458
  4. Step 4: Simplify right side
    5,825,313x = 153,399,569,869,764
  5. Step 5: Solve for x
    x = 153,399,569,869,764/5,825,313
  6. Step 6: Final answer
    x = 26,333,275.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.