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Finding the Third Proportional to 33,574,468 and 74,206,384

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Solution

The third proportional to 33,574,468 and 74,206,384 is: 164,011,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574,468 : 74,206,384 = 74,206,384 : x
  2. Step 2: Convert to fraction form
    33,574,468/74,206,384 = 74,206,384/x
  3. Step 3: Cross multiply
    33,574,468x = 74,206,384 × 74,206,384
  4. Step 4: Simplify right side
    33,574,468x = 5,506,587,426,355,456
  5. Step 5: Solve for x
    x = 5,506,587,426,355,456/33,574,468
  6. Step 6: Final answer
    x = 164,011,159.50

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.