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Finding the Third Proportional to 29,486,736 and 46,155,196

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Solution

The third proportional to 29,486,736 and 46,155,196 is: 72,246,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486,736 : 46,155,196 = 46,155,196 : x
  2. Step 2: Convert to fraction form
    29,486,736/46,155,196 = 46,155,196/x
  3. Step 3: Cross multiply
    29,486,736x = 46,155,196 × 46,155,196
  4. Step 4: Simplify right side
    29,486,736x = 2,130,302,117,798,416
  5. Step 5: Solve for x
    x = 2,130,302,117,798,416/29,486,736
  6. Step 6: Final answer
    x = 72,246,114.92

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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.