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Finding the Third Proportional to 9,861,706,623 and 21,119,745,678

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Solution

The third proportional to 9,861,706,623 and 21,119,745,678 is: 45,229,864,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861,706,623 : 21,119,745,678 = 21,119,745,678 : x
  2. Step 2: Convert to fraction form
    9,861,706,623/21,119,745,678 = 21,119,745,678/x
  3. Step 3: Cross multiply
    9,861,706,623x = 21,119,745,678 × 21,119,745,678
  4. Step 4: Simplify right side
    9,861,706,623x = 446,043,657,503,399,673,856
  5. Step 5: Solve for x
    x = 446,043,657,503,399,673,856/9,861,706,623
  6. Step 6: Final answer
    x = 45,229,864,825.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.