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Finding the Third Proportional to 1,283,226,316.50 and 2,750,621,523

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Solution

The third proportional to 1,283,226,316.50 and 2,750,621,523 is: 5,896,012,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,316.50 : 2,750,621,523 = 2,750,621,523 : x
  2. Step 2: Convert to fraction form
    1,283,226,316.50/2,750,621,523 = 2,750,621,523/x
  3. Step 3: Cross multiply
    1,283,226,316.50x = 2,750,621,523 × 2,750,621,523
  4. Step 4: Simplify right side
    1,283,226,316.50x = 7,565,918,762,790,839,296
  5. Step 5: Solve for x
    x = 7,565,918,762,790,839,296/1,283,226,316.50
  6. Step 6: Final answer
    x = 5,896,012,780.84

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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.