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Finding the Third Proportional to 495,857,140 and 1,080,996,464

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Solution

The third proportional to 495,857,140 and 1,080,996,464 is: 2,356,633,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,857,140 : 1,080,996,464 = 1,080,996,464 : x
  2. Step 2: Convert to fraction form
    495,857,140/1,080,996,464 = 1,080,996,464/x
  3. Step 3: Cross multiply
    495,857,140x = 1,080,996,464 × 1,080,996,464
  4. Step 4: Simplify right side
    495,857,140x = 1,168,553,355,180,503,296
  5. Step 5: Solve for x
    x = 1,168,553,355,180,503,296/495,857,140
  6. Step 6: Final answer
    x = 2,356,633,112.47

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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.