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Finding the Third Proportional to 768,939,852.94 and 1,677,592,988.72

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Solution

The third proportional to 768,939,852.94 and 1,677,592,988.72 is: 3,659,997,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,939,852.94 : 1,677,592,988.72 = 1,677,592,988.72 : x
  2. Step 2: Convert to fraction form
    768,939,852.94/1,677,592,988.72 = 1,677,592,988.72/x
  3. Step 3: Cross multiply
    768,939,852.94x = 1,677,592,988.72 × 1,677,592,988.72
  4. Step 4: Simplify right side
    768,939,852.94x = 2,814,318,235,798,476,288
  5. Step 5: Solve for x
    x = 2,814,318,235,798,476,288/768,939,852.94
  6. Step 6: Final answer
    x = 3,659,997,885.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.