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Finding the Third Proportional to 3,156,012,894 and 6,861,362,526

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Solution

The third proportional to 3,156,012,894 and 6,861,362,526 is: 14,917,016,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,012,894 : 6,861,362,526 = 6,861,362,526 : x
  2. Step 2: Convert to fraction form
    3,156,012,894/6,861,362,526 = 6,861,362,526/x
  3. Step 3: Cross multiply
    3,156,012,894x = 6,861,362,526 × 6,861,362,526
  4. Step 4: Simplify right side
    3,156,012,894x = 47,078,295,713,197,096,960
  5. Step 5: Solve for x
    x = 47,078,295,713,197,096,960/3,156,012,894
  6. Step 6: Final answer
    x = 14,917,016,277.94

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Why These Related Problems?

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