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Finding the Third Proportional to 1,817,792,466 and 3,975,706,522

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Solution

The third proportional to 1,817,792,466 and 3,975,706,522 is: 8,695,295,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,792,466 : 3,975,706,522 = 3,975,706,522 : x
  2. Step 2: Convert to fraction form
    1,817,792,466/3,975,706,522 = 3,975,706,522/x
  3. Step 3: Cross multiply
    1,817,792,466x = 3,975,706,522 × 3,975,706,522
  4. Step 4: Simplify right side
    1,817,792,466x = 15,806,242,349,073,336,320
  5. Step 5: Solve for x
    x = 15,806,242,349,073,336,320/1,817,792,466
  6. Step 6: Final answer
    x = 8,695,295,334.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.