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Finding the Third Proportional to 45,586,570,901 and 99,020,613,358

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Solution

The third proportional to 45,586,570,901 and 99,020,613,358 is: 215,087,067,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586,570,901 : 99,020,613,358 = 99,020,613,358 : x
  2. Step 2: Convert to fraction form
    45,586,570,901/99,020,613,358 = 99,020,613,358/x
  3. Step 3: Cross multiply
    45,586,570,901x = 99,020,613,358 × 99,020,613,358
  4. Step 4: Simplify right side
    45,586,570,901x = 9,805,081,869,794,527,936,512
  5. Step 5: Solve for x
    x = 9,805,081,869,794,527,936,512/45,586,570,901
  6. Step 6: Final answer
    x = 215,087,067,879.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.