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Finding the Third Proportional to 221,547,117 and 482,105,937

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Solution

The third proportional to 221,547,117 and 482,105,937 is: 1,049,104,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,547,117 : 482,105,937 = 482,105,937 : x
  2. Step 2: Convert to fraction form
    221,547,117/482,105,937 = 482,105,937/x
  3. Step 3: Cross multiply
    221,547,117x = 482,105,937 × 482,105,937
  4. Step 4: Simplify right side
    221,547,117x = 232,426,134,490,647,968
  5. Step 5: Solve for x
    x = 232,426,134,490,647,968/221,547,117
  6. Step 6: Final answer
    x = 1,049,104,757.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.