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Finding the Third Proportional to 811,556,388 and 1,772,530,776

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Solution

The third proportional to 811,556,388 and 1,772,530,776 is: 3,871,407,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,556,388 : 1,772,530,776 = 1,772,530,776 : x
  2. Step 2: Convert to fraction form
    811,556,388/1,772,530,776 = 1,772,530,776/x
  3. Step 3: Cross multiply
    811,556,388x = 1,772,530,776 × 1,772,530,776
  4. Step 4: Simplify right side
    811,556,388x = 3,141,865,351,867,162,112
  5. Step 5: Solve for x
    x = 3,141,865,351,867,162,112/811,556,388
  6. Step 6: Final answer
    x = 3,871,407,333.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.