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Finding the Third Proportional to 757,922,906 and 1,649,306,643

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Solution

The third proportional to 757,922,906 and 1,649,306,643 is: 3,589,035,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,922,906 : 1,649,306,643 = 1,649,306,643 : x
  2. Step 2: Convert to fraction form
    757,922,906/1,649,306,643 = 1,649,306,643/x
  3. Step 3: Cross multiply
    757,922,906x = 1,649,306,643 × 1,649,306,643
  4. Step 4: Simplify right side
    757,922,906x = 2,720,212,402,643,929,600
  5. Step 5: Solve for x
    x = 2,720,212,402,643,929,600/757,922,906
  6. Step 6: Final answer
    x = 3,589,035,746.39

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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.