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Finding the Third Proportional to 560,416,566,205.45 and 836,952,488,833.45

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Solution

The third proportional to 560,416,566,205.45 and 836,952,488,833.45 is: 1,249,944,257,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,416,566,205.45 : 836,952,488,833.45 = 836,952,488,833.45 : x
  2. Step 2: Convert to fraction form
    560,416,566,205.45/836,952,488,833.45 = 836,952,488,833.45/x
  3. Step 3: Cross multiply
    560,416,566,205.45x = 836,952,488,833.45 × 836,952,488,833.45
  4. Step 4: Simplify right side
    560,416,566,205.45x = 700,489,468,564,506,100,629,504
  5. Step 5: Solve for x
    x = 700,489,468,564,506,100,629,504/560,416,566,205.45
  6. Step 6: Final answer
    x = 1,249,944,257,193.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.