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Finding the Third Proportional to 9,861,706,625.50 and 21,119,745,683

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Solution

The third proportional to 9,861,706,625.50 and 21,119,745,683 is: 45,229,864,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861,706,625.50 : 21,119,745,683 = 21,119,745,683 : x
  2. Step 2: Convert to fraction form
    9,861,706,625.50/21,119,745,683 = 21,119,745,683/x
  3. Step 3: Cross multiply
    9,861,706,625.50x = 21,119,745,683 × 21,119,745,683
  4. Step 4: Simplify right side
    9,861,706,625.50x = 446,043,657,714,597,167,104
  5. Step 5: Solve for x
    x = 446,043,657,714,597,167,104/9,861,706,625.50
  6. Step 6: Final answer
    x = 45,229,864,835.08

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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.