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Finding the Third Proportional to 316,879,023 and 680,613,387

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Solution

The third proportional to 316,879,023 and 680,613,387 is: 1,461,865,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,879,023 : 680,613,387 = 680,613,387 : x
  2. Step 2: Convert to fraction form
    316,879,023/680,613,387 = 680,613,387/x
  3. Step 3: Cross multiply
    316,879,023x = 680,613,387 × 680,613,387
  4. Step 4: Simplify right side
    316,879,023x = 463,234,582,563,611,776
  5. Step 5: Solve for x
    x = 463,234,582,563,611,776/316,879,023
  6. Step 6: Final answer
    x = 1,461,865,724.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.