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Finding the Third Proportional to 9,445,862,769 and 21,867,751,305

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Solution

The third proportional to 9,445,862,769 and 21,867,751,305 is: 50,625,184,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445,862,769 : 21,867,751,305 = 21,867,751,305 : x
  2. Step 2: Convert to fraction form
    9,445,862,769/21,867,751,305 = 21,867,751,305/x
  3. Step 3: Cross multiply
    9,445,862,769x = 21,867,751,305 × 21,867,751,305
  4. Step 4: Simplify right side
    9,445,862,769x = 478,198,547,137,329,233,920
  5. Step 5: Solve for x
    x = 478,198,547,137,329,233,920/9,445,862,769
  6. Step 6: Final answer
    x = 50,625,184,679.45

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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.