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Finding the Third Proportional to 830,282,306 and 1,167,896,612

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Solution

The third proportional to 830,282,306 and 1,167,896,612 is: 1,642,793,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,282,306 : 1,167,896,612 = 1,167,896,612 : x
  2. Step 2: Convert to fraction form
    830,282,306/1,167,896,612 = 1,167,896,612/x
  3. Step 3: Cross multiply
    830,282,306x = 1,167,896,612 × 1,167,896,612
  4. Step 4: Simplify right side
    830,282,306x = 1,363,982,496,321,078,528
  5. Step 5: Solve for x
    x = 1,363,982,496,321,078,528/830,282,306
  6. Step 6: Final answer
    x = 1,642,793,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.