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Finding the Third Proportional to 77,531,582 and 121,641,267

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Solution

The third proportional to 77,531,582 and 121,641,267 is: 190,846,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,531,582 : 121,641,267 = 121,641,267 : x
  2. Step 2: Convert to fraction form
    77,531,582/121,641,267 = 121,641,267/x
  3. Step 3: Cross multiply
    77,531,582x = 121,641,267 × 121,641,267
  4. Step 4: Simplify right side
    77,531,582x = 14,796,597,837,365,288
  5. Step 5: Solve for x
    x = 14,796,597,837,365,288/77,531,582
  6. Step 6: Final answer
    x = 190,846,071.44

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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.