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Finding the Third Proportional to 357,257,729.25 and 773,880,637.13

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Solution

The third proportional to 357,257,729.25 and 773,880,637.13 is: 1,676,356,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257,729.25 : 773,880,637.13 = 773,880,637.13 : x
  2. Step 2: Convert to fraction form
    357,257,729.25/773,880,637.13 = 773,880,637.13/x
  3. Step 3: Cross multiply
    357,257,729.25x = 773,880,637.13 × 773,880,637.13
  4. Step 4: Simplify right side
    357,257,729.25x = 598,891,240,516,995,968
  5. Step 5: Solve for x
    x = 598,891,240,516,995,968/357,257,729.25
  6. Step 6: Final answer
    x = 1,676,356,287.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.