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Finding the Third Proportional to 308,035,316 and 726,426,371.50

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Solution

The third proportional to 308,035,316 and 726,426,371.50 is: 1,713,099,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,035,316 : 726,426,371.50 = 726,426,371.50 : x
  2. Step 2: Convert to fraction form
    308,035,316/726,426,371.50 = 726,426,371.50/x
  3. Step 3: Cross multiply
    308,035,316x = 726,426,371.50 × 726,426,371.50
  4. Step 4: Simplify right side
    308,035,316x = 527,695,273,210,656,000
  5. Step 5: Solve for x
    x = 527,695,273,210,656,000/308,035,316
  6. Step 6: Final answer
    x = 1,713,099,913.55

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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.