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Finding the Third Proportional to 13,897,112.63 and 20,048,416.31

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Solution

The third proportional to 13,897,112.63 and 20,048,416.31 is: 28,922,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897,112.63 : 20,048,416.31 = 20,048,416.31 : x
  2. Step 2: Convert to fraction form
    13,897,112.63/20,048,416.31 = 20,048,416.31/x
  3. Step 3: Cross multiply
    13,897,112.63x = 20,048,416.31 × 20,048,416.31
  4. Step 4: Simplify right side
    13,897,112.63x = 401,938,996,639,316.12
  5. Step 5: Solve for x
    x = 401,938,996,639,316.12/13,897,112.63
  6. Step 6: Final answer
    x = 28,922,482.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.