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Finding the Third Proportional to 1,380,668,796 and 2,966,250,696

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Solution

The third proportional to 1,380,668,796 and 2,966,250,696 is: 6,372,739,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,668,796 : 2,966,250,696 = 2,966,250,696 : x
  2. Step 2: Convert to fraction form
    1,380,668,796/2,966,250,696 = 2,966,250,696/x
  3. Step 3: Cross multiply
    1,380,668,796x = 2,966,250,696 × 2,966,250,696
  4. Step 4: Simplify right side
    1,380,668,796x = 8,798,643,191,520,484,352
  5. Step 5: Solve for x
    x = 8,798,643,191,520,484,352/1,380,668,796
  6. Step 6: Final answer
    x = 6,372,739,948.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.