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Finding the Third Proportional to 7,388,076,260 and 11,449,484,036

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Solution

The third proportional to 7,388,076,260 and 11,449,484,036 is: 17,743,547,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388,076,260 : 11,449,484,036 = 11,449,484,036 : x
  2. Step 2: Convert to fraction form
    7,388,076,260/11,449,484,036 = 11,449,484,036/x
  3. Step 3: Cross multiply
    7,388,076,260x = 11,449,484,036 × 11,449,484,036
  4. Step 4: Simplify right side
    7,388,076,260x = 131,090,684,690,618,843,136
  5. Step 5: Solve for x
    x = 131,090,684,690,618,843,136/7,388,076,260
  6. Step 6: Final answer
    x = 17,743,547,857.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.