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Finding the Third Proportional to 27,715,419,650 and 64,671,547,397

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Solution

The third proportional to 27,715,419,650 and 64,671,547,397 is: 150,905,492,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,419,650 : 64,671,547,397 = 64,671,547,397 : x
  2. Step 2: Convert to fraction form
    27,715,419,650/64,671,547,397 = 64,671,547,397/x
  3. Step 3: Cross multiply
    27,715,419,650x = 64,671,547,397 × 64,671,547,397
  4. Step 4: Simplify right side
    27,715,419,650x = 4,182,409,042,722,417,541,120
  5. Step 5: Solve for x
    x = 4,182,409,042,722,417,541,120/27,715,419,650
  6. Step 6: Final answer
    x = 150,905,492,160.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.