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Finding the Third Proportional to 1,415,817,189 and 1,968,580,633.50

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Solution

The third proportional to 1,415,817,189 and 1,968,580,633.50 is: 2,737,154,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,817,189 : 1,968,580,633.50 = 1,968,580,633.50 : x
  2. Step 2: Convert to fraction form
    1,415,817,189/1,968,580,633.50 = 1,968,580,633.50/x
  3. Step 3: Cross multiply
    1,415,817,189x = 1,968,580,633.50 × 1,968,580,633.50
  4. Step 4: Simplify right side
    1,415,817,189x = 3,875,309,710,591,261,184
  5. Step 5: Solve for x
    x = 3,875,309,710,591,261,184/1,415,817,189
  6. Step 6: Final answer
    x = 2,737,154,020.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.