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Finding the Third Proportional to 495,857,132 and 1,080,996,448

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Solution

The third proportional to 495,857,132 and 1,080,996,448 is: 2,356,633,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,857,132 : 1,080,996,448 = 1,080,996,448 : x
  2. Step 2: Convert to fraction form
    495,857,132/1,080,996,448 = 1,080,996,448/x
  3. Step 3: Cross multiply
    495,857,132x = 1,080,996,448 × 1,080,996,448
  4. Step 4: Simplify right side
    495,857,132x = 1,168,553,320,588,616,704
  5. Step 5: Solve for x
    x = 1,168,553,320,588,616,704/495,857,132
  6. Step 6: Final answer
    x = 2,356,633,080.73

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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.