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Finding the Third Proportional to 12,178,862 and 25,365,276

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Solution

The third proportional to 12,178,862 and 25,365,276 is: 52,829,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178,862 : 25,365,276 = 25,365,276 : x
  2. Step 2: Convert to fraction form
    12,178,862/25,365,276 = 25,365,276/x
  3. Step 3: Cross multiply
    12,178,862x = 25,365,276 × 25,365,276
  4. Step 4: Simplify right side
    12,178,862x = 643,397,226,556,176
  5. Step 5: Solve for x
    x = 643,397,226,556,176/12,178,862
  6. Step 6: Final answer
    x = 52,829,010.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.