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Finding the Third Proportional to 384,829,984 and 840,199,427

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Solution

The third proportional to 384,829,984 and 840,199,427 is: 1,834,407,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,829,984 : 840,199,427 = 840,199,427 : x
  2. Step 2: Convert to fraction form
    384,829,984/840,199,427 = 840,199,427/x
  3. Step 3: Cross multiply
    384,829,984x = 840,199,427 × 840,199,427
  4. Step 4: Simplify right side
    384,829,984x = 705,935,077,131,128,320
  5. Step 5: Solve for x
    x = 705,935,077,131,128,320/384,829,984
  6. Step 6: Final answer
    x = 1,834,407,677.37

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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.