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Finding the Third Proportional to 10,136,840 and 22,058,272

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Solution

The third proportional to 10,136,840 and 22,058,272 is: 47,999,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,840 : 22,058,272 = 22,058,272 : x
  2. Step 2: Convert to fraction form
    10,136,840/22,058,272 = 22,058,272/x
  3. Step 3: Cross multiply
    10,136,840x = 22,058,272 × 22,058,272
  4. Step 4: Simplify right side
    10,136,840x = 486,567,363,625,984
  5. Step 5: Solve for x
    x = 486,567,363,625,984/10,136,840
  6. Step 6: Final answer
    x = 47,999,905.65

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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.