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Finding the Third Proportional to 575,307,384 and 1,267,880,736

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Solution

The third proportional to 575,307,384 and 1,267,880,736 is: 2,794,195,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,307,384 : 1,267,880,736 = 1,267,880,736 : x
  2. Step 2: Convert to fraction form
    575,307,384/1,267,880,736 = 1,267,880,736/x
  3. Step 3: Cross multiply
    575,307,384x = 1,267,880,736 × 1,267,880,736
  4. Step 4: Simplify right side
    575,307,384x = 1,607,521,560,719,901,696
  5. Step 5: Solve for x
    x = 1,607,521,560,719,901,696/575,307,384
  6. Step 6: Final answer
    x = 2,794,195,947.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.