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Finding the Third Proportional to 474,929,664 and 726,518,622

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Solution

The third proportional to 474,929,664 and 726,518,622 is: 1,111,384,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,929,664 : 726,518,622 = 726,518,622 : x
  2. Step 2: Convert to fraction form
    474,929,664/726,518,622 = 726,518,622/x
  3. Step 3: Cross multiply
    474,929,664x = 726,518,622 × 726,518,622
  4. Step 4: Simplify right side
    474,929,664x = 527,829,308,112,778,880
  5. Step 5: Solve for x
    x = 527,829,308,112,778,880/474,929,664
  6. Step 6: Final answer
    x = 1,111,384,165.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.