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Finding the Third Proportional to 74,651,459 and 106,751,715

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Solution

The third proportional to 74,651,459 and 106,751,715 is: 152,655,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,651,459 : 106,751,715 = 106,751,715 : x
  2. Step 2: Convert to fraction form
    74,651,459/106,751,715 = 106,751,715/x
  3. Step 3: Cross multiply
    74,651,459x = 106,751,715 × 106,751,715
  4. Step 4: Simplify right side
    74,651,459x = 11,395,928,655,441,224
  5. Step 5: Solve for x
    x = 11,395,928,655,441,224/74,651,459
  6. Step 6: Final answer
    x = 152,655,136.39

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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.