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Finding the Third Proportional to 313,886,575.50 and 516,847,078.50

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Solution

The third proportional to 313,886,575.50 and 516,847,078.50 is: 851,042,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886,575.50 : 516,847,078.50 = 516,847,078.50 : x
  2. Step 2: Convert to fraction form
    313,886,575.50/516,847,078.50 = 516,847,078.50/x
  3. Step 3: Cross multiply
    313,886,575.50x = 516,847,078.50 × 516,847,078.50
  4. Step 4: Simplify right side
    313,886,575.50x = 267,130,902,553,985,152
  5. Step 5: Solve for x
    x = 267,130,902,553,985,152/313,886,575.50
  6. Step 6: Final answer
    x = 851,042,775.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.