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Finding the Third Proportional to 45,586,570,908 and 99,020,613,381

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Solution

The third proportional to 45,586,570,908 and 99,020,613,381 is: 215,087,067,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586,570,908 : 99,020,613,381 = 99,020,613,381 : x
  2. Step 2: Convert to fraction form
    45,586,570,908/99,020,613,381 = 99,020,613,381/x
  3. Step 3: Cross multiply
    45,586,570,908x = 99,020,613,381 × 99,020,613,381
  4. Step 4: Simplify right side
    45,586,570,908x = 9,805,081,874,349,477,068,800
  5. Step 5: Solve for x
    x = 9,805,081,874,349,477,068,800/45,586,570,908
  6. Step 6: Final answer
    x = 215,087,067,946.78

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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.