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Finding the Third Proportional to 360,034,040 and 785,484,812

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Solution

The third proportional to 360,034,040 and 785,484,812 is: 1,713,689,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,040 : 785,484,812 = 785,484,812 : x
  2. Step 2: Convert to fraction form
    360,034,040/785,484,812 = 785,484,812/x
  3. Step 3: Cross multiply
    360,034,040x = 785,484,812 × 785,484,812
  4. Step 4: Simplify right side
    360,034,040x = 616,986,389,882,675,328
  5. Step 5: Solve for x
    x = 616,986,389,882,675,328/360,034,040
  6. Step 6: Final answer
    x = 1,713,689,044.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.