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Finding the Third Proportional to 10,906,754,710 and 23,854,238,972

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Solution

The third proportional to 10,906,754,710 and 23,854,238,972 is: 52,171,771,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906,754,710 : 23,854,238,972 = 23,854,238,972 : x
  2. Step 2: Convert to fraction form
    10,906,754,710/23,854,238,972 = 23,854,238,972/x
  3. Step 3: Cross multiply
    10,906,754,710x = 23,854,238,972 × 23,854,238,972
  4. Step 4: Simplify right side
    10,906,754,710x = 569,024,716,933,283,643,392
  5. Step 5: Solve for x
    x = 569,024,716,933,283,643,392/10,906,754,710
  6. Step 6: Final answer
    x = 52,171,771,719.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.