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Finding the Third Proportional to 766,775,810 and 1,679,510,056

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Solution

The third proportional to 766,775,810 and 1,679,510,056 is: 3,678,720,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,775,810 : 1,679,510,056 = 1,679,510,056 : x
  2. Step 2: Convert to fraction form
    766,775,810/1,679,510,056 = 1,679,510,056/x
  3. Step 3: Cross multiply
    766,775,810x = 1,679,510,056 × 1,679,510,056
  4. Step 4: Simplify right side
    766,775,810x = 2,820,754,028,205,123,072
  5. Step 5: Solve for x
    x = 2,820,754,028,205,123,072/766,775,810
  6. Step 6: Final answer
    x = 3,678,720,678.74

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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.