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Finding the Third Proportional to 454,983,795 and 980,051,382

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Solution

The third proportional to 454,983,795 and 980,051,382 is: 2,111,065,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,983,795 : 980,051,382 = 980,051,382 : x
  2. Step 2: Convert to fraction form
    454,983,795/980,051,382 = 980,051,382/x
  3. Step 3: Cross multiply
    454,983,795x = 980,051,382 × 980,051,382
  4. Step 4: Simplify right side
    454,983,795x = 960,500,711,360,109,952
  5. Step 5: Solve for x
    x = 960,500,711,360,109,952/454,983,795
  6. Step 6: Final answer
    x = 2,111,065,760.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.