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Finding the Third Proportional to 268,111,908 and 578,548,080

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Solution

The third proportional to 268,111,908 and 578,548,080 is: 1,248,426,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,111,908 : 578,548,080 = 578,548,080 : x
  2. Step 2: Convert to fraction form
    268,111,908/578,548,080 = 578,548,080/x
  3. Step 3: Cross multiply
    268,111,908x = 578,548,080 × 578,548,080
  4. Step 4: Simplify right side
    268,111,908x = 334,717,880,871,686,400
  5. Step 5: Solve for x
    x = 334,717,880,871,686,400/268,111,908
  6. Step 6: Final answer
    x = 1,248,426,014.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.