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Finding the Third Proportional to 788,560,558.03 and 1,682,665,870.22

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Solution

The third proportional to 788,560,558.03 and 1,682,665,870.22 is: 3,590,547,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,560,558.03 : 1,682,665,870.22 = 1,682,665,870.22 : x
  2. Step 2: Convert to fraction form
    788,560,558.03/1,682,665,870.22 = 1,682,665,870.22/x
  3. Step 3: Cross multiply
    788,560,558.03x = 1,682,665,870.22 × 1,682,665,870.22
  4. Step 4: Simplify right side
    788,560,558.03x = 2,831,364,430,799,191,552
  5. Step 5: Solve for x
    x = 2,831,364,430,799,191,552/788,560,558.03
  6. Step 6: Final answer
    x = 3,590,547,868.47

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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.