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Finding the Third Proportional to 247,468,617 and 537,500,547

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Solution

The third proportional to 247,468,617 and 537,500,547 is: 1,167,448,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,468,617 : 537,500,547 = 537,500,547 : x
  2. Step 2: Convert to fraction form
    247,468,617/537,500,547 = 537,500,547/x
  3. Step 3: Cross multiply
    247,468,617x = 537,500,547 × 537,500,547
  4. Step 4: Simplify right side
    247,468,617x = 288,906,838,025,299,200
  5. Step 5: Solve for x
    x = 288,906,838,025,299,200/247,468,617
  6. Step 6: Final answer
    x = 1,167,448,388.11

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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.