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Finding the Third Proportional to 824,372,774 and 1,777,882,046

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Solution

The third proportional to 824,372,774 and 1,777,882,046 is: 3,834,266,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,774 : 1,777,882,046 = 1,777,882,046 : x
  2. Step 2: Convert to fraction form
    824,372,774/1,777,882,046 = 1,777,882,046/x
  3. Step 3: Cross multiply
    824,372,774x = 1,777,882,046 × 1,777,882,046
  4. Step 4: Simplify right side
    824,372,774x = 3,160,864,569,489,146,368
  5. Step 5: Solve for x
    x = 3,160,864,569,489,146,368/824,372,774
  6. Step 6: Final answer
    x = 3,834,266,085.90

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