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Finding the Third Proportional to 29,486,716 and 46,155,164

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Solution

The third proportional to 29,486,716 and 46,155,164 is: 72,246,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486,716 : 46,155,164 = 46,155,164 : x
  2. Step 2: Convert to fraction form
    29,486,716/46,155,164 = 46,155,164/x
  3. Step 3: Cross multiply
    29,486,716x = 46,155,164 × 46,155,164
  4. Step 4: Simplify right side
    29,486,716x = 2,130,299,163,866,896
  5. Step 5: Solve for x
    x = 2,130,299,163,866,896/29,486,716
  6. Step 6: Final answer
    x = 72,246,063.75

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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.