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Finding the Third Proportional to 74,651,457 and 106,751,712

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Solution

The third proportional to 74,651,457 and 106,751,712 is: 152,655,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,651,457 : 106,751,712 = 106,751,712 : x
  2. Step 2: Convert to fraction form
    74,651,457/106,751,712 = 106,751,712/x
  3. Step 3: Cross multiply
    74,651,457x = 106,751,712 × 106,751,712
  4. Step 4: Simplify right side
    74,651,457x = 11,395,928,014,930,944
  5. Step 5: Solve for x
    x = 11,395,928,014,930,944/74,651,457
  6. Step 6: Final answer
    x = 152,655,131.90

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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.