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Finding the Third Proportional to 67,130,565 and 144,590,613

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Solution

The third proportional to 67,130,565 and 144,590,613 is: 311,429,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,130,565 : 144,590,613 = 144,590,613 : x
  2. Step 2: Convert to fraction form
    67,130,565/144,590,613 = 144,590,613/x
  3. Step 3: Cross multiply
    67,130,565x = 144,590,613 × 144,590,613
  4. Step 4: Simplify right side
    67,130,565x = 20,906,445,367,715,768
  5. Step 5: Solve for x
    x = 20,906,445,367,715,768/67,130,565
  6. Step 6: Final answer
    x = 311,429,605.39

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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.