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Finding the Third Proportional to 2,488,127,654 and 5,345,505,724

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Solution

The third proportional to 2,488,127,654 and 5,345,505,724 is: 11,484,310,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,127,654 : 5,345,505,724 = 5,345,505,724 : x
  2. Step 2: Convert to fraction form
    2,488,127,654/5,345,505,724 = 5,345,505,724/x
  3. Step 3: Cross multiply
    2,488,127,654x = 5,345,505,724 × 5,345,505,724
  4. Step 4: Simplify right side
    2,488,127,654x = 28,574,431,445,316,763,648
  5. Step 5: Solve for x
    x = 28,574,431,445,316,763,648/2,488,127,654
  6. Step 6: Final answer
    x = 11,484,310,862.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.