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Finding the Third Proportional to 5,022,185,154 and 8,269,553,148

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Solution

The third proportional to 5,022,185,154 and 8,269,553,148 is: 13,616,684,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022,185,154 : 8,269,553,148 = 8,269,553,148 : x
  2. Step 2: Convert to fraction form
    5,022,185,154/8,269,553,148 = 8,269,553,148/x
  3. Step 3: Cross multiply
    5,022,185,154x = 8,269,553,148 × 8,269,553,148
  4. Step 4: Simplify right side
    5,022,185,154x = 68,385,509,267,596,713,984
  5. Step 5: Solve for x
    x = 68,385,509,267,596,713,984/5,022,185,154
  6. Step 6: Final answer
    x = 13,616,684,206.30

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.