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Finding the Third Proportional to 9,445,862,772 and 21,867,751,312

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Solution

The third proportional to 9,445,862,772 and 21,867,751,312 is: 50,625,184,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445,862,772 : 21,867,751,312 = 21,867,751,312 : x
  2. Step 2: Convert to fraction form
    9,445,862,772/21,867,751,312 = 21,867,751,312/x
  3. Step 3: Cross multiply
    9,445,862,772x = 21,867,751,312 × 21,867,751,312
  4. Step 4: Simplify right side
    9,445,862,772x = 478,198,547,443,477,708,800
  5. Step 5: Solve for x
    x = 478,198,547,443,477,708,800/9,445,862,772
  6. Step 6: Final answer
    x = 50,625,184,695.78

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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.