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Finding the Third Proportional to 516,816,946.13 and 794,385,017.44

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Solution

The third proportional to 516,816,946.13 and 794,385,017.44 is: 1,221,027,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,816,946.13 : 794,385,017.44 = 794,385,017.44 : x
  2. Step 2: Convert to fraction form
    516,816,946.13/794,385,017.44 = 794,385,017.44/x
  3. Step 3: Cross multiply
    516,816,946.13x = 794,385,017.44 × 794,385,017.44
  4. Step 4: Simplify right side
    516,816,946.13x = 631,047,555,929,177,216
  5. Step 5: Solve for x
    x = 631,047,555,929,177,216/516,816,946.13
  6. Step 6: Final answer
    x = 1,221,027,214.10

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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.