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Finding the Third Proportional to 23,205,046 and 49,176,276

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Solution

The third proportional to 23,205,046 and 49,176,276 is: 104,214,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205,046 : 49,176,276 = 49,176,276 : x
  2. Step 2: Convert to fraction form
    23,205,046/49,176,276 = 49,176,276/x
  3. Step 3: Cross multiply
    23,205,046x = 49,176,276 × 49,176,276
  4. Step 4: Simplify right side
    23,205,046x = 2,418,306,121,228,176
  5. Step 5: Solve for x
    x = 2,418,306,121,228,176/23,205,046
  6. Step 6: Final answer
    x = 104,214,666.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.