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Finding the Third Proportional to 14,176,289 and 30,918,307

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Solution

The third proportional to 14,176,289 and 30,918,307 is: 67,432,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176,289 : 30,918,307 = 30,918,307 : x
  2. Step 2: Convert to fraction form
    14,176,289/30,918,307 = 30,918,307/x
  3. Step 3: Cross multiply
    14,176,289x = 30,918,307 × 30,918,307
  4. Step 4: Simplify right side
    14,176,289x = 955,941,707,746,249
  5. Step 5: Solve for x
    x = 955,941,707,746,249/14,176,289
  6. Step 6: Final answer
    x = 67,432,436.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.