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Finding the Third Proportional to 423,294,731 and 911,458,475

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Solution

The third proportional to 423,294,731 and 911,458,475 is: 1,962,596,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,294,731 : 911,458,475 = 911,458,475 : x
  2. Step 2: Convert to fraction form
    423,294,731/911,458,475 = 911,458,475/x
  3. Step 3: Cross multiply
    423,294,731x = 911,458,475 × 911,458,475
  4. Step 4: Simplify right side
    423,294,731x = 830,756,551,649,325,568
  5. Step 5: Solve for x
    x = 830,756,551,649,325,568/423,294,731
  6. Step 6: Final answer
    x = 1,962,596,013.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.