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Finding the Third Proportional to 38,503,710,849 and 82,306,316,571

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Solution

The third proportional to 38,503,710,849 and 82,306,316,571 is: 175,939,658,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503,710,849 : 82,306,316,571 = 82,306,316,571 : x
  2. Step 2: Convert to fraction form
    38,503,710,849/82,306,316,571 = 82,306,316,571/x
  3. Step 3: Cross multiply
    38,503,710,849x = 82,306,316,571 × 82,306,316,571
  4. Step 4: Simplify right side
    38,503,710,849x = 6,774,329,747,485,669,457,920
  5. Step 5: Solve for x
    x = 6,774,329,747,485,669,457,920/38,503,710,849
  6. Step 6: Final answer
    x = 175,939,658,752.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.