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Finding the Third Proportional to 10,607,770.13 and 23,158,649.25

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Solution

The third proportional to 10,607,770.13 and 23,158,649.25 is: 50,559,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607,770.13 : 23,158,649.25 = 23,158,649.25 : x
  2. Step 2: Convert to fraction form
    10,607,770.13/23,158,649.25 = 23,158,649.25/x
  3. Step 3: Cross multiply
    10,607,770.13x = 23,158,649.25 × 23,158,649.25
  4. Step 4: Simplify right side
    10,607,770.13x = 536,323,035,084,525.56
  5. Step 5: Solve for x
    x = 536,323,035,084,525.56/10,607,770.13
  6. Step 6: Final answer
    x = 50,559,451.12

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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.