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Finding the Third Proportional to 766,775,808 and 1,679,510,052

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Solution

The third proportional to 766,775,808 and 1,679,510,052 is: 3,678,720,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,775,808 : 1,679,510,052 = 1,679,510,052 : x
  2. Step 2: Convert to fraction form
    766,775,808/1,679,510,052 = 1,679,510,052/x
  3. Step 3: Cross multiply
    766,775,808x = 1,679,510,052 × 1,679,510,052
  4. Step 4: Simplify right side
    766,775,808x = 2,820,754,014,769,042,944
  5. Step 5: Solve for x
    x = 2,820,754,014,769,042,944/766,775,808
  6. Step 6: Final answer
    x = 3,678,720,670.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.