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Finding the Third Proportional to 32,754,047.63 and 70,109,259.75

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Solution

The third proportional to 32,754,047.63 and 70,109,259.75 is: 150,067,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754,047.63 : 70,109,259.75 = 70,109,259.75 : x
  2. Step 2: Convert to fraction form
    32,754,047.63/70,109,259.75 = 70,109,259.75/x
  3. Step 3: Cross multiply
    32,754,047.63x = 70,109,259.75 × 70,109,259.75
  4. Step 4: Simplify right side
    32,754,047.63x = 4,915,308,302,692,970
  5. Step 5: Solve for x
    x = 4,915,308,302,692,970/32,754,047.63
  6. Step 6: Final answer
    x = 150,067,202.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.