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Finding the Third Proportional to 2,716,864,281 and 5,869,949,498

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Solution

The third proportional to 2,716,864,281 and 5,869,949,498 is: 12,682,380,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,864,281 : 5,869,949,498 = 5,869,949,498 : x
  2. Step 2: Convert to fraction form
    2,716,864,281/5,869,949,498 = 5,869,949,498/x
  3. Step 3: Cross multiply
    2,716,864,281x = 5,869,949,498 × 5,869,949,498
  4. Step 4: Simplify right side
    2,716,864,281x = 34,456,307,109,070,450,688
  5. Step 5: Solve for x
    x = 34,456,307,109,070,450,688/2,716,864,281
  6. Step 6: Final answer
    x = 12,682,380,695.29

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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.