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Finding the Third Proportional to 713,031,682.75 and 1,524,191,048.25

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Solution

The third proportional to 713,031,682.75 and 1,524,191,048.25 is: 3,258,141,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,031,682.75 : 1,524,191,048.25 = 1,524,191,048.25 : x
  2. Step 2: Convert to fraction form
    713,031,682.75/1,524,191,048.25 = 1,524,191,048.25/x
  3. Step 3: Cross multiply
    713,031,682.75x = 1,524,191,048.25 × 1,524,191,048.25
  4. Step 4: Simplify right side
    713,031,682.75x = 2,323,158,351,565,433,856
  5. Step 5: Solve for x
    x = 2,323,158,351,565,433,856/713,031,682.75
  6. Step 6: Final answer
    x = 3,258,141,829.84

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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.