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Finding the Third Proportional to 45,049,453,383 and 61,349,666,103

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Solution

The third proportional to 45,049,453,383 and 61,349,666,103 is: 83,547,773,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,049,453,383 : 61,349,666,103 = 61,349,666,103 : x
  2. Step 2: Convert to fraction form
    45,049,453,383/61,349,666,103 = 61,349,666,103/x
  3. Step 3: Cross multiply
    45,049,453,383x = 61,349,666,103 × 61,349,666,103
  4. Step 4: Simplify right side
    45,049,453,383x = 3,763,781,530,949,587,042,304
  5. Step 5: Solve for x
    x = 3,763,781,530,949,587,042,304/45,049,453,383
  6. Step 6: Final answer
    x = 83,547,773,575.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.