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Finding the Third Proportional to 459,676,272 and 992,281,056

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Solution

The third proportional to 459,676,272 and 992,281,056 is: 2,141,989,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,676,272 : 992,281,056 = 992,281,056 : x
  2. Step 2: Convert to fraction form
    459,676,272/992,281,056 = 992,281,056/x
  3. Step 3: Cross multiply
    459,676,272x = 992,281,056 × 992,281,056
  4. Step 4: Simplify right side
    459,676,272x = 984,621,694,096,475,136
  5. Step 5: Solve for x
    x = 984,621,694,096,475,136/459,676,272
  6. Step 6: Final answer
    x = 2,141,989,382.69

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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.