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Finding the Third Proportional to 725,191,011 and 1,553,763,550

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Solution

The third proportional to 725,191,011 and 1,553,763,550 is: 3,329,027,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,191,011 : 1,553,763,550 = 1,553,763,550 : x
  2. Step 2: Convert to fraction form
    725,191,011/1,553,763,550 = 1,553,763,550/x
  3. Step 3: Cross multiply
    725,191,011x = 1,553,763,550 × 1,553,763,550
  4. Step 4: Simplify right side
    725,191,011x = 2,414,181,169,308,602,368
  5. Step 5: Solve for x
    x = 2,414,181,169,308,602,368/725,191,011
  6. Step 6: Final answer
    x = 3,329,027,983.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.