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Finding the Third Proportional to 531,313,170 and 833,398,066.50

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Solution

The third proportional to 531,313,170 and 833,398,066.50 is: 1,307,237,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,313,170 : 833,398,066.50 = 833,398,066.50 : x
  2. Step 2: Convert to fraction form
    531,313,170/833,398,066.50 = 833,398,066.50/x
  3. Step 3: Cross multiply
    531,313,170x = 833,398,066.50 × 833,398,066.50
  4. Step 4: Simplify right side
    531,313,170x = 694,552,337,245,938,432
  5. Step 5: Solve for x
    x = 694,552,337,245,938,432/531,313,170
  6. Step 6: Final answer
    x = 1,307,237,193.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.