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Finding the Third Proportional to 46,165,448 and 72,043,140

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Solution

The third proportional to 46,165,448 and 72,043,140 is: 112,426,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,165,448 : 72,043,140 = 72,043,140 : x
  2. Step 2: Convert to fraction form
    46,165,448/72,043,140 = 72,043,140/x
  3. Step 3: Cross multiply
    46,165,448x = 72,043,140 × 72,043,140
  4. Step 4: Simplify right side
    46,165,448x = 5,190,214,021,059,600
  5. Step 5: Solve for x
    x = 5,190,214,021,059,600/46,165,448
  6. Step 6: Final answer
    x = 112,426,376.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.