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Finding the Third Proportional to 1,510,709,953.50 and 3,251,002,488

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Solution

The third proportional to 1,510,709,953.50 and 3,251,002,488 is: 6,996,059,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,709,953.50 : 3,251,002,488 = 3,251,002,488 : x
  2. Step 2: Convert to fraction form
    1,510,709,953.50/3,251,002,488 = 3,251,002,488/x
  3. Step 3: Cross multiply
    1,510,709,953.50x = 3,251,002,488 × 3,251,002,488
  4. Step 4: Simplify right side
    1,510,709,953.50x = 10,569,017,176,982,190,080
  5. Step 5: Solve for x
    x = 10,569,017,176,982,190,080/1,510,709,953.50
  6. Step 6: Final answer
    x = 6,996,059,801.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.