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Finding the Third Proportional to 211,041,828 and 465,019,447.50

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Solution

The third proportional to 211,041,828 and 465,019,447.50 is: 1,024,645,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,041,828 : 465,019,447.50 = 465,019,447.50 : x
  2. Step 2: Convert to fraction form
    211,041,828/465,019,447.50 = 465,019,447.50/x
  3. Step 3: Cross multiply
    211,041,828x = 465,019,447.50 × 465,019,447.50
  4. Step 4: Simplify right side
    211,041,828x = 216,243,086,553,205,248
  5. Step 5: Solve for x
    x = 216,243,086,553,205,248/211,041,828
  6. Step 6: Final answer
    x = 1,024,645,628.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.