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Finding the Third Proportional to 38,326,569,942 and 83,401,974,060

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Solution

The third proportional to 38,326,569,942 and 83,401,974,060 is: 181,490,002,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326,569,942 : 83,401,974,060 = 83,401,974,060 : x
  2. Step 2: Convert to fraction form
    38,326,569,942/83,401,974,060 = 83,401,974,060/x
  3. Step 3: Cross multiply
    38,326,569,942x = 83,401,974,060 × 83,401,974,060
  4. Step 4: Simplify right side
    38,326,569,942x = 6,955,889,277,104,912,596,992
  5. Step 5: Solve for x
    x = 6,955,889,277,104,912,596,992/38,326,569,942
  6. Step 6: Final answer
    x = 181,490,002,565.62

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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.