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Finding the Third Proportional to 745,353,706 and 1,614,925,756

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Solution

The third proportional to 745,353,706 and 1,614,925,756 is: 3,498,990,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,353,706 : 1,614,925,756 = 1,614,925,756 : x
  2. Step 2: Convert to fraction form
    745,353,706/1,614,925,756 = 1,614,925,756/x
  3. Step 3: Cross multiply
    745,353,706x = 1,614,925,756 × 1,614,925,756
  4. Step 4: Simplify right side
    745,353,706x = 2,607,985,197,392,171,520
  5. Step 5: Solve for x
    x = 2,607,985,197,392,171,520/745,353,706
  6. Step 6: Final answer
    x = 3,498,990,045.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.