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Finding the Third Proportional to 5,029,434 and 10,291,280

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Solution

The third proportional to 5,029,434 and 10,291,280 is: 21,058,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029,434 : 10,291,280 = 10,291,280 : x
  2. Step 2: Convert to fraction form
    5,029,434/10,291,280 = 10,291,280/x
  3. Step 3: Cross multiply
    5,029,434x = 10,291,280 × 10,291,280
  4. Step 4: Simplify right side
    5,029,434x = 105,910,444,038,400
  5. Step 5: Solve for x
    x = 105,910,444,038,400/5,029,434
  6. Step 6: Final answer
    x = 21,058,123.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.