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Finding the Third Proportional to 788,560,551 and 1,682,665,853.50

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Solution

The third proportional to 788,560,551 and 1,682,665,853.50 is: 3,590,547,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,560,551 : 1,682,665,853.50 = 1,682,665,853.50 : x
  2. Step 2: Convert to fraction form
    788,560,551/1,682,665,853.50 = 1,682,665,853.50/x
  3. Step 3: Cross multiply
    788,560,551x = 1,682,665,853.50 × 1,682,665,853.50
  4. Step 4: Simplify right side
    788,560,551x = 2,831,364,374,534,883,328
  5. Step 5: Solve for x
    x = 2,831,364,374,534,883,328/788,560,551
  6. Step 6: Final answer
    x = 3,590,547,829.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.