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Finding the Third Proportional to 389,974,177.50 and 841,374,624

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Solution

The third proportional to 389,974,177.50 and 841,374,624 is: 1,815,277,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,974,177.50 : 841,374,624 = 841,374,624 : x
  2. Step 2: Convert to fraction form
    389,974,177.50/841,374,624 = 841,374,624/x
  3. Step 3: Cross multiply
    389,974,177.50x = 841,374,624 × 841,374,624
  4. Step 4: Simplify right side
    389,974,177.50x = 707,911,257,911,141,376
  5. Step 5: Solve for x
    x = 707,911,257,911,141,376/389,974,177.50
  6. Step 6: Final answer
    x = 1,815,277,263.87

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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.