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Finding the Third Proportional to 14,186,702,791 and 31,265,107,431

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Solution

The third proportional to 14,186,702,791 and 31,265,107,431 is: 68,903,039,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186,702,791 : 31,265,107,431 = 31,265,107,431 : x
  2. Step 2: Convert to fraction form
    14,186,702,791/31,265,107,431 = 31,265,107,431/x
  3. Step 3: Cross multiply
    14,186,702,791x = 31,265,107,431 × 31,265,107,431
  4. Step 4: Simplify right side
    14,186,702,791x = 977,506,942,671,971,418,112
  5. Step 5: Solve for x
    x = 977,506,942,671,971,418,112/14,186,702,791
  6. Step 6: Final answer
    x = 68,903,039,492.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.