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Finding the Third Proportional to 43,613,470,300 and 94,868,471,904

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Solution

The third proportional to 43,613,470,300 and 94,868,471,904 is: 206,358,881,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,613,470,300 : 94,868,471,904 = 94,868,471,904 : x
  2. Step 2: Convert to fraction form
    43,613,470,300/94,868,471,904 = 94,868,471,904/x
  3. Step 3: Cross multiply
    43,613,470,300x = 94,868,471,904 × 94,868,471,904
  4. Step 4: Simplify right side
    43,613,470,300x = 9,000,026,961,400,037,376,000
  5. Step 5: Solve for x
    x = 9,000,026,961,400,037,376,000/43,613,470,300
  6. Step 6: Final answer
    x = 206,358,881,774.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.