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Finding the Third Proportional to 803,423,549.25 and 1,240,935,693.75

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Solution

The third proportional to 803,423,549.25 and 1,240,935,693.75 is: 1,916,699,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,423,549.25 : 1,240,935,693.75 = 1,240,935,693.75 : x
  2. Step 2: Convert to fraction form
    803,423,549.25/1,240,935,693.75 = 1,240,935,693.75/x
  3. Step 3: Cross multiply
    803,423,549.25x = 1,240,935,693.75 × 1,240,935,693.75
  4. Step 4: Simplify right side
    803,423,549.25x = 1,539,921,396,022,793,728
  5. Step 5: Solve for x
    x = 1,539,921,396,022,793,728/803,423,549.25
  6. Step 6: Final answer
    x = 1,916,699,351.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.