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Finding the Third Proportional to 865,373,522 and 1,861,963,786

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Solution

The third proportional to 865,373,522 and 1,861,963,786 is: 4,006,257,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,373,522 : 1,861,963,786 = 1,861,963,786 : x
  2. Step 2: Convert to fraction form
    865,373,522/1,861,963,786 = 1,861,963,786/x
  3. Step 3: Cross multiply
    865,373,522x = 1,861,963,786 × 1,861,963,786
  4. Step 4: Simplify right side
    865,373,522x = 3,466,909,140,375,453,696
  5. Step 5: Solve for x
    x = 3,466,909,140,375,453,696/865,373,522
  6. Step 6: Final answer
    x = 4,006,257,474.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.