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Finding the Third Proportional to 24,590,074.50 and 53,010,649.50

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Solution

The third proportional to 24,590,074.50 and 53,010,649.50 is: 114,278,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590,074.50 : 53,010,649.50 = 53,010,649.50 : x
  2. Step 2: Convert to fraction form
    24,590,074.50/53,010,649.50 = 53,010,649.50/x
  3. Step 3: Cross multiply
    24,590,074.50x = 53,010,649.50 × 53,010,649.50
  4. Step 4: Simplify right side
    24,590,074.50x = 2,810,128,960,411,850
  5. Step 5: Solve for x
    x = 2,810,128,960,411,850/24,590,074.50
  6. Step 6: Final answer
    x = 114,278,993.36

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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.