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Finding the Third Proportional to 1,068,591,717 and 1,634,666,871

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Solution

The third proportional to 1,068,591,717 and 1,634,666,871 is: 2,500,614,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,591,717 : 1,634,666,871 = 1,634,666,871 : x
  2. Step 2: Convert to fraction form
    1,068,591,717/1,634,666,871 = 1,634,666,871/x
  3. Step 3: Cross multiply
    1,068,591,717x = 1,634,666,871 × 1,634,666,871
  4. Step 4: Simplify right side
    1,068,591,717x = 2,672,135,779,144,930,816
  5. Step 5: Solve for x
    x = 2,672,135,779,144,930,816/1,068,591,717
  6. Step 6: Final answer
    x = 2,500,614,347.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.