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Finding the Third Proportional to 352,480,809 and 763,520,082

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Solution

The third proportional to 352,480,809 and 763,520,082 is: 1,653,885,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,480,809 : 763,520,082 = 763,520,082 : x
  2. Step 2: Convert to fraction form
    352,480,809/763,520,082 = 763,520,082/x
  3. Step 3: Cross multiply
    352,480,809x = 763,520,082 × 763,520,082
  4. Step 4: Simplify right side
    352,480,809x = 582,962,915,617,286,784
  5. Step 5: Solve for x
    x = 582,962,915,617,286,784/352,480,809
  6. Step 6: Final answer
    x = 1,653,885,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.