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Finding the Third Proportional to 384,829,986 and 840,199,432

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Solution

The third proportional to 384,829,986 and 840,199,432 is: 1,834,407,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,829,986 : 840,199,432 = 840,199,432 : x
  2. Step 2: Convert to fraction form
    384,829,986/840,199,432 = 840,199,432/x
  3. Step 3: Cross multiply
    384,829,986x = 840,199,432 × 840,199,432
  4. Step 4: Simplify right side
    384,829,986x = 705,935,085,533,122,560
  5. Step 5: Solve for x
    x = 705,935,085,533,122,560/384,829,986
  6. Step 6: Final answer
    x = 1,834,407,689.67

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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.