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Finding the Third Proportional to 72,846,568,921.75 and 162,442,924,798.01

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Solution

The third proportional to 72,846,568,921.75 and 162,442,924,798.01 is: 362,236,742,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846,568,921.75 : 162,442,924,798.01 = 162,442,924,798.01 : x
  2. Step 2: Convert to fraction form
    72,846,568,921.75/162,442,924,798.01 = 162,442,924,798.01/x
  3. Step 3: Cross multiply
    72,846,568,921.75x = 162,442,924,798.01 × 162,442,924,798.01
  4. Step 4: Simplify right side
    72,846,568,921.75x = 26,387,703,816,931,933,945,856
  5. Step 5: Solve for x
    x = 26,387,703,816,931,933,945,856/72,846,568,921.75
  6. Step 6: Final answer
    x = 362,236,742,341.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.