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Finding the Third Proportional to 2,310,215,400 and 5,043,772,764

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Solution

The third proportional to 2,310,215,400 and 5,043,772,764 is: 11,011,805,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,215,400 : 5,043,772,764 = 5,043,772,764 : x
  2. Step 2: Convert to fraction form
    2,310,215,400/5,043,772,764 = 5,043,772,764/x
  3. Step 3: Cross multiply
    2,310,215,400x = 5,043,772,764 × 5,043,772,764
  4. Step 4: Simplify right side
    2,310,215,400x = 25,439,643,694,868,201,472
  5. Step 5: Solve for x
    x = 25,439,643,694,868,201,472/2,310,215,400
  6. Step 6: Final answer
    x = 11,011,805,953.19

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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.