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Finding the Third Proportional to 32,753,985.19 and 70,108,993.13

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Solution

The third proportional to 32,753,985.19 and 70,108,993.13 is: 150,066,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753,985.19 : 70,108,993.13 = 70,108,993.13 : x
  2. Step 2: Convert to fraction form
    32,753,985.19/70,108,993.13 = 70,108,993.13/x
  3. Step 3: Cross multiply
    32,753,985.19x = 70,108,993.13 × 70,108,993.13
  4. Step 4: Simplify right side
    32,753,985.19x = 4,915,270,917,001,297
  5. Step 5: Solve for x
    x = 4,915,270,917,001,297/32,753,985.19
  6. Step 6: Final answer
    x = 150,066,347.31

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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.