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Finding the Third Proportional to 704,036,984 and 1,466,013,234

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Solution

The third proportional to 704,036,984 and 1,466,013,234 is: 3,052,673,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,036,984 : 1,466,013,234 = 1,466,013,234 : x
  2. Step 2: Convert to fraction form
    704,036,984/1,466,013,234 = 1,466,013,234/x
  3. Step 3: Cross multiply
    704,036,984x = 1,466,013,234 × 1,466,013,234
  4. Step 4: Simplify right side
    704,036,984x = 2,149,194,802,263,138,816
  5. Step 5: Solve for x
    x = 2,149,194,802,263,138,816/704,036,984
  6. Step 6: Final answer
    x = 3,052,673,156.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.