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Finding the Third Proportional to 1,859,857,689 and 4,015,578,316.50

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Solution

The third proportional to 1,859,857,689 and 4,015,578,316.50 is: 8,669,947,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859,857,689 : 4,015,578,316.50 = 4,015,578,316.50 : x
  2. Step 2: Convert to fraction form
    1,859,857,689/4,015,578,316.50 = 4,015,578,316.50/x
  3. Step 3: Cross multiply
    1,859,857,689x = 4,015,578,316.50 × 4,015,578,316.50
  4. Step 4: Simplify right side
    1,859,857,689x = 16,124,869,215,944,974,336
  5. Step 5: Solve for x
    x = 16,124,869,215,944,974,336/1,859,857,689
  6. Step 6: Final answer
    x = 8,669,947,873.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.