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Finding the Third Proportional to 317,909,827.13 and 429,389,340.75

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Solution

The third proportional to 317,909,827.13 and 429,389,340.75 is: 579,960,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,909,827.13 : 429,389,340.75 = 429,389,340.75 : x
  2. Step 2: Convert to fraction form
    317,909,827.13/429,389,340.75 = 429,389,340.75/x
  3. Step 3: Cross multiply
    317,909,827.13x = 429,389,340.75 × 429,389,340.75
  4. Step 4: Simplify right side
    317,909,827.13x = 184,375,205,949,719,616
  5. Step 5: Solve for x
    x = 184,375,205,949,719,616/317,909,827.13
  6. Step 6: Final answer
    x = 579,960,700.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.