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Finding the Third Proportional to 524,958,363 and 1,124,794,780.88

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Solution

The third proportional to 524,958,363 and 1,124,794,780.88 is: 2,410,025,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,958,363 : 1,124,794,780.88 = 1,124,794,780.88 : x
  2. Step 2: Convert to fraction form
    524,958,363/1,124,794,780.88 = 1,124,794,780.88/x
  3. Step 3: Cross multiply
    524,958,363x = 1,124,794,780.88 × 1,124,794,780.88
  4. Step 4: Simplify right side
    524,958,363x = 1,265,163,299,083,639,296
  5. Step 5: Solve for x
    x = 1,265,163,299,083,639,296/524,958,363
  6. Step 6: Final answer
    x = 2,410,025,991.12

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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.