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Finding the Third Proportional to 1,153,828,872 and 2,721,024,756

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Solution

The third proportional to 1,153,828,872 and 2,721,024,756 is: 6,416,875,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,828,872 : 2,721,024,756 = 2,721,024,756 : x
  2. Step 2: Convert to fraction form
    1,153,828,872/2,721,024,756 = 2,721,024,756/x
  3. Step 3: Cross multiply
    1,153,828,872x = 2,721,024,756 × 2,721,024,756
  4. Step 4: Simplify right side
    1,153,828,872x = 7,403,975,722,764,859,392
  5. Step 5: Solve for x
    x = 7,403,975,722,764,859,392/1,153,828,872
  6. Step 6: Final answer
    x = 6,416,875,069.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.