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Finding the Third Proportional to 8,609,558,294 and 12,311,683,021

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Solution

The third proportional to 8,609,558,294 and 12,311,683,021 is: 17,605,727,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609,558,294 : 12,311,683,021 = 12,311,683,021 : x
  2. Step 2: Convert to fraction form
    8,609,558,294/12,311,683,021 = 12,311,683,021/x
  3. Step 3: Cross multiply
    8,609,558,294x = 12,311,683,021 × 12,311,683,021
  4. Step 4: Simplify right side
    8,609,558,294x = 151,577,538,809,579,700,224
  5. Step 5: Solve for x
    x = 151,577,538,809,579,700,224/8,609,558,294
  6. Step 6: Final answer
    x = 17,605,727,684.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.