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Finding the Third Proportional to 745,353,704 and 1,614,925,752

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Solution

The third proportional to 745,353,704 and 1,614,925,752 is: 3,498,990,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,353,704 : 1,614,925,752 = 1,614,925,752 : x
  2. Step 2: Convert to fraction form
    745,353,704/1,614,925,752 = 1,614,925,752/x
  3. Step 3: Cross multiply
    745,353,704x = 1,614,925,752 × 1,614,925,752
  4. Step 4: Simplify right side
    745,353,704x = 2,607,985,184,472,765,440
  5. Step 5: Solve for x
    x = 2,607,985,184,472,765,440/745,353,704
  6. Step 6: Final answer
    x = 3,498,990,037.18

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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.