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Finding the Third Proportional to 10,161,996,232.50 and 22,012,601,949

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Solution

The third proportional to 10,161,996,232.50 and 22,012,601,949 is: 47,683,017,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161,996,232.50 : 22,012,601,949 = 22,012,601,949 : x
  2. Step 2: Convert to fraction form
    10,161,996,232.50/22,012,601,949 = 22,012,601,949/x
  3. Step 3: Cross multiply
    10,161,996,232.50x = 22,012,601,949 × 22,012,601,949
  4. Step 4: Simplify right side
    10,161,996,232.50x = 484,554,644,565,118,615,552
  5. Step 5: Solve for x
    x = 484,554,644,565,118,615,552/10,161,996,232.50
  6. Step 6: Final answer
    x = 47,683,017,536.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.