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Finding the Third Proportional to 824,372,854 and 1,777,882,206

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Solution

The third proportional to 824,372,854 and 1,777,882,206 is: 3,834,266,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,854 : 1,777,882,206 = 1,777,882,206 : x
  2. Step 2: Convert to fraction form
    824,372,854/1,777,882,206 = 1,777,882,206/x
  3. Step 3: Cross multiply
    824,372,854x = 1,777,882,206 × 1,777,882,206
  4. Step 4: Simplify right side
    824,372,854x = 3,160,865,138,411,426,304
  5. Step 5: Solve for x
    x = 3,160,865,138,411,426,304/824,372,854
  6. Step 6: Final answer
    x = 3,834,266,403.94

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Why These Related Problems?

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