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Finding the Third Proportional to 33,675,516 and 72,739,798.50

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Solution

The third proportional to 33,675,516 and 72,739,798.50 is: 157,119,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,516 : 72,739,798.50 = 72,739,798.50 : x
  2. Step 2: Convert to fraction form
    33,675,516/72,739,798.50 = 72,739,798.50/x
  3. Step 3: Cross multiply
    33,675,516x = 72,739,798.50 × 72,739,798.50
  4. Step 4: Simplify right side
    33,675,516x = 5,291,078,285,820,602
  5. Step 5: Solve for x
    x = 5,291,078,285,820,602/33,675,516
  6. Step 6: Final answer
    x = 157,119,442.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.