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Finding the Third Proportional to 1,283,226,316 and 2,750,621,522

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Solution

The third proportional to 1,283,226,316 and 2,750,621,522 is: 5,896,012,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,316 : 2,750,621,522 = 2,750,621,522 : x
  2. Step 2: Convert to fraction form
    1,283,226,316/2,750,621,522 = 2,750,621,522/x
  3. Step 3: Cross multiply
    1,283,226,316x = 2,750,621,522 × 2,750,621,522
  4. Step 4: Simplify right side
    1,283,226,316x = 7,565,918,757,289,596,928
  5. Step 5: Solve for x
    x = 7,565,918,757,289,596,928/1,283,226,316
  6. Step 6: Final answer
    x = 5,896,012,778.85

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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.