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Finding the Third Proportional to 10,237,850 and 22,398,340

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Solution

The third proportional to 10,237,850 and 22,398,340 is: 49,003,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237,850 : 22,398,340 = 22,398,340 : x
  2. Step 2: Convert to fraction form
    10,237,850/22,398,340 = 22,398,340/x
  3. Step 3: Cross multiply
    10,237,850x = 22,398,340 × 22,398,340
  4. Step 4: Simplify right side
    10,237,850x = 501,685,634,755,600
  5. Step 5: Solve for x
    x = 501,685,634,755,600/10,237,850
  6. Step 6: Final answer
    x = 49,003,026.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.