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Finding the Third Proportional to 1,005,620,456 and 2,164,931,062

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Solution

The third proportional to 1,005,620,456 and 2,164,931,062 is: 4,660,731,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,620,456 : 2,164,931,062 = 2,164,931,062 : x
  2. Step 2: Convert to fraction form
    1,005,620,456/2,164,931,062 = 2,164,931,062/x
  3. Step 3: Cross multiply
    1,005,620,456x = 2,164,931,062 × 2,164,931,062
  4. Step 4: Simplify right side
    1,005,620,456x = 4,686,926,503,212,447,744
  5. Step 5: Solve for x
    x = 4,686,926,503,212,447,744/1,005,620,456
  6. Step 6: Final answer
    x = 4,660,731,069.31

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