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Finding the Third Proportional to 74,651,445 and 106,751,695.50

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Solution

The third proportional to 74,651,445 and 106,751,695.50 is: 152,655,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,651,445 : 106,751,695.50 = 106,751,695.50 : x
  2. Step 2: Convert to fraction form
    74,651,445/106,751,695.50 = 106,751,695.50/x
  3. Step 3: Cross multiply
    74,651,445x = 106,751,695.50 × 106,751,695.50
  4. Step 4: Simplify right side
    74,651,445x = 11,395,924,492,124,720
  5. Step 5: Solve for x
    x = 11,395,924,492,124,720/74,651,445
  6. Step 6: Final answer
    x = 152,655,109.25

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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.