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Finding the Third Proportional to 9,867,215,937 and 21,307,094,967

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Solution

The third proportional to 9,867,215,937 and 21,307,094,967 is: 46,010,171,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867,215,937 : 21,307,094,967 = 21,307,094,967 : x
  2. Step 2: Convert to fraction form
    9,867,215,937/21,307,094,967 = 21,307,094,967/x
  3. Step 3: Cross multiply
    9,867,215,937x = 21,307,094,967 × 21,307,094,967
  4. Step 4: Simplify right side
    9,867,215,937x = 453,992,295,932,756,754,432
  5. Step 5: Solve for x
    x = 453,992,295,932,756,754,432/9,867,215,937
  6. Step 6: Final answer
    x = 46,010,171,342.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.