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Finding the Third Proportional to 360,034,023 and 785,484,780

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Solution

The third proportional to 360,034,023 and 785,484,780 is: 1,713,688,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,023 : 785,484,780 = 785,484,780 : x
  2. Step 2: Convert to fraction form
    360,034,023/785,484,780 = 785,484,780/x
  3. Step 3: Cross multiply
    360,034,023x = 785,484,780 × 785,484,780
  4. Step 4: Simplify right side
    360,034,023x = 616,986,339,611,648,384
  5. Step 5: Solve for x
    x = 616,986,339,611,648,384/360,034,023
  6. Step 6: Final answer
    x = 1,713,688,985.48

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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.