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Finding the Third Proportional to 29,486,714 and 46,155,161

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Solution

The third proportional to 29,486,714 and 46,155,161 is: 72,246,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486,714 : 46,155,161 = 46,155,161 : x
  2. Step 2: Convert to fraction form
    29,486,714/46,155,161 = 46,155,161/x
  3. Step 3: Cross multiply
    29,486,714x = 46,155,161 × 46,155,161
  4. Step 4: Simplify right side
    29,486,714x = 2,130,298,886,935,921
  5. Step 5: Solve for x
    x = 2,130,298,886,935,921/29,486,714
  6. Step 6: Final answer
    x = 72,246,059.26

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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.