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Finding the Third Proportional to 10,714,293 and 16,168,045.50

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Solution

The third proportional to 10,714,293 and 16,168,045.50 is: 24,397,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714,293 : 16,168,045.50 = 16,168,045.50 : x
  2. Step 2: Convert to fraction form
    10,714,293/16,168,045.50 = 16,168,045.50/x
  3. Step 3: Cross multiply
    10,714,293x = 16,168,045.50 × 16,168,045.50
  4. Step 4: Simplify right side
    10,714,293x = 261,405,695,290,070.25
  5. Step 5: Solve for x
    x = 261,405,695,290,070.25/10,714,293
  6. Step 6: Final answer
    x = 24,397,848.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.