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Finding the Third Proportional to 631,943,964 and 838,522,206

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Solution

The third proportional to 631,943,964 and 838,522,206 is: 1,112,629,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,943,964 : 838,522,206 = 838,522,206 : x
  2. Step 2: Convert to fraction form
    631,943,964/838,522,206 = 838,522,206/x
  3. Step 3: Cross multiply
    631,943,964x = 838,522,206 × 838,522,206
  4. Step 4: Simplify right side
    631,943,964x = 703,119,489,955,106,432
  5. Step 5: Solve for x
    x = 703,119,489,955,106,432/631,943,964
  6. Step 6: Final answer
    x = 1,112,629,489.34

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.