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Finding the Third Proportional to 357,257,746 and 773,880,666

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Solution

The third proportional to 357,257,746 and 773,880,666 is: 1,676,356,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257,746 : 773,880,666 = 773,880,666 : x
  2. Step 2: Convert to fraction form
    357,257,746/773,880,666 = 773,880,666/x
  3. Step 3: Cross multiply
    357,257,746x = 773,880,666 × 773,880,666
  4. Step 4: Simplify right side
    357,257,746x = 598,891,285,208,603,520
  5. Step 5: Solve for x
    x = 598,891,285,208,603,520/357,257,746
  6. Step 6: Final answer
    x = 1,676,356,333.53

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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.