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Finding the Third Proportional to 9,445,862,774 and 21,867,751,317

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Solution

The third proportional to 9,445,862,774 and 21,867,751,317 is: 50,625,184,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445,862,774 : 21,867,751,317 = 21,867,751,317 : x
  2. Step 2: Convert to fraction form
    9,445,862,774/21,867,751,317 = 21,867,751,317/x
  3. Step 3: Cross multiply
    9,445,862,774x = 21,867,751,317 × 21,867,751,317
  4. Step 4: Simplify right side
    9,445,862,774x = 478,198,547,662,155,218,944
  5. Step 5: Solve for x
    x = 478,198,547,662,155,218,944/9,445,862,774
  6. Step 6: Final answer
    x = 50,625,184,708.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.