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Finding the Third Proportional to 735,921,646 and 1,614,832,573

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Solution

The third proportional to 735,921,646 and 1,614,832,573 is: 3,543,426,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,921,646 : 1,614,832,573 = 1,614,832,573 : x
  2. Step 2: Convert to fraction form
    735,921,646/1,614,832,573 = 1,614,832,573/x
  3. Step 3: Cross multiply
    735,921,646x = 1,614,832,573 × 1,614,832,573
  4. Step 4: Simplify right side
    735,921,646x = 2,607,684,238,821,800,448
  5. Step 5: Solve for x
    x = 2,607,684,238,821,800,448/735,921,646
  6. Step 6: Final answer
    x = 3,543,426,468.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.