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Finding the Third Proportional to 72,677,826 and 111,711,033

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Solution

The third proportional to 72,677,826 and 111,711,033 is: 171,707,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,677,826 : 111,711,033 = 111,711,033 : x
  2. Step 2: Convert to fraction form
    72,677,826/111,711,033 = 111,711,033/x
  3. Step 3: Cross multiply
    72,677,826x = 111,711,033 × 111,711,033
  4. Step 4: Simplify right side
    72,677,826x = 12,479,354,893,927,088
  5. Step 5: Solve for x
    x = 12,479,354,893,927,088/72,677,826
  6. Step 6: Final answer
    x = 171,707,872.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.