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Finding the Third Proportional to 1,862,833,932 and 3,780,406,287

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Solution

The third proportional to 1,862,833,932 and 3,780,406,287 is: 7,671,897,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862,833,932 : 3,780,406,287 = 3,780,406,287 : x
  2. Step 2: Convert to fraction form
    1,862,833,932/3,780,406,287 = 3,780,406,287/x
  3. Step 3: Cross multiply
    1,862,833,932x = 3,780,406,287 × 3,780,406,287
  4. Step 4: Simplify right side
    1,862,833,932x = 14,291,471,694,789,126,144
  5. Step 5: Solve for x
    x = 14,291,471,694,789,126,144/1,862,833,932
  6. Step 6: Final answer
    x = 7,671,897,880.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.