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Finding the Third Proportional to 12,830,593.50 and 26,570,648.25

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Solution

The third proportional to 12,830,593.50 and 26,570,648.25 is: 55,024,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830,593.50 : 26,570,648.25 = 26,570,648.25 : x
  2. Step 2: Convert to fraction form
    12,830,593.50/26,570,648.25 = 26,570,648.25/x
  3. Step 3: Cross multiply
    12,830,593.50x = 26,570,648.25 × 26,570,648.25
  4. Step 4: Simplify right side
    12,830,593.50x = 705,999,348,425,228
  5. Step 5: Solve for x
    x = 705,999,348,425,228/12,830,593.50
  6. Step 6: Final answer
    x = 55,024,683.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.