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Finding the Third Proportional to 3,971,295.84 and 6,136,551.14

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Solution

The third proportional to 3,971,295.84 and 6,136,551.14 is: 9,482,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,295.84 : 6,136,551.14 = 6,136,551.14 : x
  2. Step 2: Convert to fraction form
    3,971,295.84/6,136,551.14 = 6,136,551.14/x
  3. Step 3: Cross multiply
    3,971,295.84x = 6,136,551.14 × 6,136,551.14
  4. Step 4: Simplify right side
    3,971,295.84x = 37,657,259,901,505.99
  5. Step 5: Solve for x
    x = 37,657,259,901,505.99/3,971,295.84
  6. Step 6: Final answer
    x = 9,482,360.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.