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Finding the Third Proportional to 5,146,209 and 11,000,646

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Solution

The third proportional to 5,146,209 and 11,000,646 is: 23,515,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,209 : 11,000,646 = 11,000,646 : x
  2. Step 2: Convert to fraction form
    5,146,209/11,000,646 = 11,000,646/x
  3. Step 3: Cross multiply
    5,146,209x = 11,000,646 × 11,000,646
  4. Step 4: Simplify right side
    5,146,209x = 121,014,212,417,316
  5. Step 5: Solve for x
    x = 121,014,212,417,316/5,146,209
  6. Step 6: Final answer
    x = 23,515,215.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.