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Finding the Third Proportional to 324,825,325.88 and 701,426,017.13

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Solution

The third proportional to 324,825,325.88 and 701,426,017.13 is: 1,514,655,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,825,325.88 : 701,426,017.13 = 701,426,017.13 : x
  2. Step 2: Convert to fraction form
    324,825,325.88/701,426,017.13 = 701,426,017.13/x
  3. Step 3: Cross multiply
    324,825,325.88x = 701,426,017.13 × 701,426,017.13
  4. Step 4: Simplify right side
    324,825,325.88x = 491,998,457,499,840,768
  5. Step 5: Solve for x
    x = 491,998,457,499,840,768/324,825,325.88
  6. Step 6: Final answer
    x = 1,514,655,472.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.