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Finding the Third Proportional to 11,456,941,392 and 24,676,779,744

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Solution

The third proportional to 11,456,941,392 and 24,676,779,744 is: 53,150,613,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456,941,392 : 24,676,779,744 = 24,676,779,744 : x
  2. Step 2: Convert to fraction form
    11,456,941,392/24,676,779,744 = 24,676,779,744/x
  3. Step 3: Cross multiply
    11,456,941,392x = 24,676,779,744 × 24,676,779,744
  4. Step 4: Simplify right side
    11,456,941,392x = 608,943,458,533,888,753,664
  5. Step 5: Solve for x
    x = 608,943,458,533,888,753,664/11,456,941,392
  6. Step 6: Final answer
    x = 53,150,613,038.76

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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.