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Finding the Third Proportional to 5,295,267 and 11,430,342

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Solution

The third proportional to 5,295,267 and 11,430,342 is: 24,673,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,267 : 11,430,342 = 11,430,342 : x
  2. Step 2: Convert to fraction form
    5,295,267/11,430,342 = 11,430,342/x
  3. Step 3: Cross multiply
    5,295,267x = 11,430,342 × 11,430,342
  4. Step 4: Simplify right side
    5,295,267x = 130,652,718,236,964
  5. Step 5: Solve for x
    x = 130,652,718,236,964/5,295,267
  6. Step 6: Final answer
    x = 24,673,490.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.