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Finding the Third Proportional to 82,283,988,769 and 125,885,289,851

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Solution

The third proportional to 82,283,988,769 and 125,885,289,851 is: 192,590,398,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283,988,769 : 125,885,289,851 = 125,885,289,851 : x
  2. Step 2: Convert to fraction form
    82,283,988,769/125,885,289,851 = 125,885,289,851/x
  3. Step 3: Cross multiply
    82,283,988,769x = 125,885,289,851 × 125,885,289,851
  4. Step 4: Simplify right side
    82,283,988,769x = 15,847,106,200,870,284,427,264
  5. Step 5: Solve for x
    x = 15,847,106,200,870,284,427,264/82,283,988,769
  6. Step 6: Final answer
    x = 192,590,398,666.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.