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Finding the Third Proportional to 8,740,484,742 and 19,224,361,716

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Solution

The third proportional to 8,740,484,742 and 19,224,361,716 is: 42,283,247,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740,484,742 : 19,224,361,716 = 19,224,361,716 : x
  2. Step 2: Convert to fraction form
    8,740,484,742/19,224,361,716 = 19,224,361,716/x
  3. Step 3: Cross multiply
    8,740,484,742x = 19,224,361,716 × 19,224,361,716
  4. Step 4: Simplify right side
    8,740,484,742x = 369,576,083,387,606,433,792
  5. Step 5: Solve for x
    x = 369,576,083,387,606,433,792/8,740,484,742
  6. Step 6: Final answer
    x = 42,283,247,931.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.