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Finding the Third Proportional to 2,411,415,955 and 5,171,739,739

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Solution

The third proportional to 2,411,415,955 and 5,171,739,739 is: 11,091,778,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,415,955 : 5,171,739,739 = 5,171,739,739 : x
  2. Step 2: Convert to fraction form
    2,411,415,955/5,171,739,739 = 5,171,739,739/x
  3. Step 3: Cross multiply
    2,411,415,955x = 5,171,739,739 × 5,171,739,739
  4. Step 4: Simplify right side
    2,411,415,955x = 26,746,891,927,951,790,080
  5. Step 5: Solve for x
    x = 26,746,891,927,951,790,080/2,411,415,955
  6. Step 6: Final answer
    x = 11,091,778,617.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.