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Finding the Third Proportional to 29,486,720 and 46,155,171

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Solution

The third proportional to 29,486,720 and 46,155,171 is: 72,246,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486,720 : 46,155,171 = 46,155,171 : x
  2. Step 2: Convert to fraction form
    29,486,720/46,155,171 = 46,155,171/x
  3. Step 3: Cross multiply
    29,486,720x = 46,155,171 × 46,155,171
  4. Step 4: Simplify right side
    29,486,720x = 2,130,299,810,039,241
  5. Step 5: Solve for x
    x = 2,130,299,810,039,241/29,486,720
  6. Step 6: Final answer
    x = 72,246,075.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.