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Finding the Third Proportional to 6,553,110,735 and 14,441,954,136

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Solution

The third proportional to 6,553,110,735 and 14,441,954,136 is: 31,827,638,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,110,735 : 14,441,954,136 = 14,441,954,136 : x
  2. Step 2: Convert to fraction form
    6,553,110,735/14,441,954,136 = 14,441,954,136/x
  3. Step 3: Cross multiply
    6,553,110,735x = 14,441,954,136 × 14,441,954,136
  4. Step 4: Simplify right side
    6,553,110,735x = 208,570,039,266,327,494,656
  5. Step 5: Solve for x
    x = 208,570,039,266,327,494,656/6,553,110,735
  6. Step 6: Final answer
    x = 31,827,638,460.67

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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.