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Finding the Third Proportional to 1,359,432,821 and 2,099,202,185

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Solution

The third proportional to 1,359,432,821 and 2,099,202,185 is: 3,241,535,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,821 : 2,099,202,185 = 2,099,202,185 : x
  2. Step 2: Convert to fraction form
    1,359,432,821/2,099,202,185 = 2,099,202,185/x
  3. Step 3: Cross multiply
    1,359,432,821x = 2,099,202,185 × 2,099,202,185
  4. Step 4: Simplify right side
    1,359,432,821x = 4,406,649,813,508,774,400
  5. Step 5: Solve for x
    x = 4,406,649,813,508,774,400/1,359,432,821
  6. Step 6: Final answer
    x = 3,241,535,547.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.