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Finding the Third Proportional to 9,832,160,244 and 14,374,962,018

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Solution

The third proportional to 9,832,160,244 and 14,374,962,018 is: 21,016,697,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832,160,244 : 14,374,962,018 = 14,374,962,018 : x
  2. Step 2: Convert to fraction form
    9,832,160,244/14,374,962,018 = 14,374,962,018/x
  3. Step 3: Cross multiply
    9,832,160,244x = 14,374,962,018 × 14,374,962,018
  4. Step 4: Simplify right side
    9,832,160,244x = 206,639,533,018,942,636,032
  5. Step 5: Solve for x
    x = 206,639,533,018,942,636,032/9,832,160,244
  6. Step 6: Final answer
    x = 21,016,697,032.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.