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Finding the Third Proportional to 715,565,720 and 1,513,635,196

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Solution

The third proportional to 715,565,720 and 1,513,635,196 is: 3,201,790,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,565,720 : 1,513,635,196 = 1,513,635,196 : x
  2. Step 2: Convert to fraction form
    715,565,720/1,513,635,196 = 1,513,635,196/x
  3. Step 3: Cross multiply
    715,565,720x = 1,513,635,196 × 1,513,635,196
  4. Step 4: Simplify right side
    715,565,720x = 2,291,091,506,569,958,400
  5. Step 5: Solve for x
    x = 2,291,091,506,569,958,400/715,565,720
  6. Step 6: Final answer
    x = 3,201,790,475.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.