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Finding the Third Proportional to 392,313,948 and 847,036,560

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Solution

The third proportional to 392,313,948 and 847,036,560 is: 1,828,818,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,313,948 : 847,036,560 = 847,036,560 : x
  2. Step 2: Convert to fraction form
    392,313,948/847,036,560 = 847,036,560/x
  3. Step 3: Cross multiply
    392,313,948x = 847,036,560 × 847,036,560
  4. Step 4: Simplify right side
    392,313,948x = 717,470,933,976,633,600
  5. Step 5: Solve for x
    x = 717,470,933,976,633,600/392,313,948
  6. Step 6: Final answer
    x = 1,828,818,316.64

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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.