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Finding the Third Proportional to 1,846,877,411,107.70 and 3,971,703,521,884.20

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Solution

The third proportional to 1,846,877,411,107.70 and 3,971,703,521,884.20 is: 8,541,134,766,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,877,411,107.70 : 3,971,703,521,884.20 = 3,971,703,521,884.20 : x
  2. Step 2: Convert to fraction form
    1,846,877,411,107.70/3,971,703,521,884.20 = 3,971,703,521,884.20/x
  3. Step 3: Cross multiply
    1,846,877,411,107.70x = 3,971,703,521,884.20 × 3,971,703,521,884.20
  4. Step 4: Simplify right side
    1,846,877,411,107.70x = 15,774,428,865,747,360,201,834,496
  5. Step 5: Solve for x
    x = 15,774,428,865,747,360,201,834,496/1,846,877,411,107.70
  6. Step 6: Final answer
    x = 8,541,134,766,647.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.