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Finding the Third Proportional to 513,251,628 and 1,053,712,232

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Solution

The third proportional to 513,251,628 and 1,053,712,232 is: 2,163,284,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,251,628 : 1,053,712,232 = 1,053,712,232 : x
  2. Step 2: Convert to fraction form
    513,251,628/1,053,712,232 = 1,053,712,232/x
  3. Step 3: Cross multiply
    513,251,628x = 1,053,712,232 × 1,053,712,232
  4. Step 4: Simplify right side
    513,251,628x = 1,110,309,467,866,421,760
  5. Step 5: Solve for x
    x = 1,110,309,467,866,421,760/513,251,628
  6. Step 6: Final answer
    x = 2,163,284,843.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.