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Finding the Third Proportional to 498,515,046 and 1,153,972,068

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Solution

The third proportional to 498,515,046 and 1,153,972,068 is: 2,671,236,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,515,046 : 1,153,972,068 = 1,153,972,068 : x
  2. Step 2: Convert to fraction form
    498,515,046/1,153,972,068 = 1,153,972,068/x
  3. Step 3: Cross multiply
    498,515,046x = 1,153,972,068 × 1,153,972,068
  4. Step 4: Simplify right side
    498,515,046x = 1,331,651,533,724,196,608
  5. Step 5: Solve for x
    x = 1,331,651,533,724,196,608/498,515,046
  6. Step 6: Final answer
    x = 2,671,236,393.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.