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Finding the Third Proportional to 2,716,864,276.50 and 5,869,949,490

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Solution

The third proportional to 2,716,864,276.50 and 5,869,949,490 is: 12,682,380,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,864,276.50 : 5,869,949,490 = 5,869,949,490 : x
  2. Step 2: Convert to fraction form
    2,716,864,276.50/5,869,949,490 = 5,869,949,490/x
  3. Step 3: Cross multiply
    2,716,864,276.50x = 5,869,949,490 × 5,869,949,490
  4. Step 4: Simplify right side
    2,716,864,276.50x = 34,456,307,015,151,259,648
  5. Step 5: Solve for x
    x = 34,456,307,015,151,259,648/2,716,864,276.50
  6. Step 6: Final answer
    x = 12,682,380,681.72

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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.