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Finding the Third Proportional to 3,829,064,126 and 8,196,020,754

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Solution

The third proportional to 3,829,064,126 and 8,196,020,754 is: 17,543,387,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,064,126 : 8,196,020,754 = 8,196,020,754 : x
  2. Step 2: Convert to fraction form
    3,829,064,126/8,196,020,754 = 8,196,020,754/x
  3. Step 3: Cross multiply
    3,829,064,126x = 8,196,020,754 × 8,196,020,754
  4. Step 4: Simplify right side
    3,829,064,126x = 67,174,756,199,998,726,144
  5. Step 5: Solve for x
    x = 67,174,756,199,998,726,144/3,829,064,126
  6. Step 6: Final answer
    x = 17,543,387,624.11

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