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Finding the Third Proportional to 2,374,206 and 5,598,946.50

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Solution

The third proportional to 2,374,206 and 5,598,946.50 is: 13,203,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374,206 : 5,598,946.50 = 5,598,946.50 : x
  2. Step 2: Convert to fraction form
    2,374,206/5,598,946.50 = 5,598,946.50/x
  3. Step 3: Cross multiply
    2,374,206x = 5,598,946.50 × 5,598,946.50
  4. Step 4: Simplify right side
    2,374,206x = 31,348,201,909,862.25
  5. Step 5: Solve for x
    x = 31,348,201,909,862.25/2,374,206
  6. Step 6: Final answer
    x = 13,203,657.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.