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Finding the Third Proportional to 74,651,516 and 106,751,786

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Solution

The third proportional to 74,651,516 and 106,751,786 is: 152,655,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,651,516 : 106,751,786 = 106,751,786 : x
  2. Step 2: Convert to fraction form
    74,651,516/106,751,786 = 106,751,786/x
  3. Step 3: Cross multiply
    74,651,516x = 106,751,786 × 106,751,786
  4. Step 4: Simplify right side
    74,651,516x = 11,395,943,814,189,796
  5. Step 5: Solve for x
    x = 11,395,943,814,189,796/74,651,516
  6. Step 6: Final answer
    x = 152,655,222.89

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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.