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Finding the Third Proportional to 35,986,829 and 77,707,864

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Solution

The third proportional to 35,986,829 and 77,707,864 is: 167,797,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,829 : 77,707,864 = 77,707,864 : x
  2. Step 2: Convert to fraction form
    35,986,829/77,707,864 = 77,707,864/x
  3. Step 3: Cross multiply
    35,986,829x = 77,707,864 × 77,707,864
  4. Step 4: Simplify right side
    35,986,829x = 6,038,512,127,442,496
  5. Step 5: Solve for x
    x = 6,038,512,127,442,496/35,986,829
  6. Step 6: Final answer
    x = 167,797,838.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.