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Finding the Third Proportional to 308,035,360 and 726,426,464

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Solution

The third proportional to 308,035,360 and 726,426,464 is: 1,713,100,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,035,360 : 726,426,464 = 726,426,464 : x
  2. Step 2: Convert to fraction form
    308,035,360/726,426,464 = 726,426,464/x
  3. Step 3: Cross multiply
    308,035,360x = 726,426,464 × 726,426,464
  4. Step 4: Simplify right side
    308,035,360x = 527,695,407,599,543,296
  5. Step 5: Solve for x
    x = 527,695,407,599,543,296/308,035,360
  6. Step 6: Final answer
    x = 1,713,100,105.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.