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Finding the Third Proportional to 495,857,138 and 1,080,996,460

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Solution

The third proportional to 495,857,138 and 1,080,996,460 is: 2,356,633,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,857,138 : 1,080,996,460 = 1,080,996,460 : x
  2. Step 2: Convert to fraction form
    495,857,138/1,080,996,460 = 1,080,996,460/x
  3. Step 3: Cross multiply
    495,857,138x = 1,080,996,460 × 1,080,996,460
  4. Step 4: Simplify right side
    495,857,138x = 1,168,553,346,532,531,712
  5. Step 5: Solve for x
    x = 1,168,553,346,532,531,712/495,857,138
  6. Step 6: Final answer
    x = 2,356,633,104.54

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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.