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Finding the Third Proportional to 726,880,200 and 1,586,974,946

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Solution

The third proportional to 726,880,200 and 1,586,974,946 is: 3,464,793,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,880,200 : 1,586,974,946 = 1,586,974,946 : x
  2. Step 2: Convert to fraction form
    726,880,200/1,586,974,946 = 1,586,974,946/x
  3. Step 3: Cross multiply
    726,880,200x = 1,586,974,946 × 1,586,974,946
  4. Step 4: Simplify right side
    726,880,200x = 2,518,489,479,231,703,040
  5. Step 5: Solve for x
    x = 2,518,489,479,231,703,040/726,880,200
  6. Step 6: Final answer
    x = 3,464,793,069.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.