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Finding the Third Proportional to 352,135,534.50 and 772,295,445

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Solution

The third proportional to 352,135,534.50 and 772,295,445 is: 1,693,780,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,135,534.50 : 772,295,445 = 772,295,445 : x
  2. Step 2: Convert to fraction form
    352,135,534.50/772,295,445 = 772,295,445/x
  3. Step 3: Cross multiply
    352,135,534.50x = 772,295,445 × 772,295,445
  4. Step 4: Simplify right side
    352,135,534.50x = 596,440,254,367,747,968
  5. Step 5: Solve for x
    x = 596,440,254,367,747,968/352,135,534.50
  6. Step 6: Final answer
    x = 1,693,780,365.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.