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Finding the Third Proportional to 840,943,190 and 1,811,281,045

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Solution

The third proportional to 840,943,190 and 1,811,281,045 is: 3,901,261,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,943,190 : 1,811,281,045 = 1,811,281,045 : x
  2. Step 2: Convert to fraction form
    840,943,190/1,811,281,045 = 1,811,281,045/x
  3. Step 3: Cross multiply
    840,943,190x = 1,811,281,045 × 1,811,281,045
  4. Step 4: Simplify right side
    840,943,190x = 3,280,739,023,976,291,840
  5. Step 5: Solve for x
    x = 3,280,739,023,976,291,840/840,943,190
  6. Step 6: Final answer
    x = 3,901,261,182.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.