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Finding the Third Proportional to 268,086,466 and 578,516,168

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Solution

The third proportional to 268,086,466 and 578,516,168 is: 1,248,406,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,086,466 : 578,516,168 = 578,516,168 : x
  2. Step 2: Convert to fraction form
    268,086,466/578,516,168 = 578,516,168/x
  3. Step 3: Cross multiply
    268,086,466x = 578,516,168 × 578,516,168
  4. Step 4: Simplify right side
    268,086,466x = 334,680,956,637,404,224
  5. Step 5: Solve for x
    x = 334,680,956,637,404,224/268,086,466
  6. Step 6: Final answer
    x = 1,248,406,760.82

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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.