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Finding the Third Proportional to 1,890,309,513 and 2,730,935,682

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Solution

The third proportional to 1,890,309,513 and 2,730,935,682 is: 3,945,390,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890,309,513 : 2,730,935,682 = 2,730,935,682 : x
  2. Step 2: Convert to fraction form
    1,890,309,513/2,730,935,682 = 2,730,935,682/x
  3. Step 3: Cross multiply
    1,890,309,513x = 2,730,935,682 × 2,730,935,682
  4. Step 4: Simplify right side
    1,890,309,513x = 7,458,009,699,220,805,632
  5. Step 5: Solve for x
    x = 7,458,009,699,220,805,632/1,890,309,513
  6. Step 6: Final answer
    x = 3,945,390,766.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.