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Finding the Third Proportional to 2,310,215,816 and 5,043,773,488

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Solution

The third proportional to 2,310,215,816 and 5,043,773,488 is: 11,011,807,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,215,816 : 5,043,773,488 = 5,043,773,488 : x
  2. Step 2: Convert to fraction form
    2,310,215,816/5,043,773,488 = 5,043,773,488/x
  3. Step 3: Cross multiply
    2,310,215,816x = 5,043,773,488 × 5,043,773,488
  4. Step 4: Simplify right side
    2,310,215,816x = 25,439,650,998,251,687,936
  5. Step 5: Solve for x
    x = 25,439,650,998,251,687,936/2,310,215,816
  6. Step 6: Final answer
    x = 11,011,807,131.64

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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.