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Finding the Third Proportional to 32,999,526 and 71,054,284

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Solution

The third proportional to 32,999,526 and 71,054,284 is: 152,993,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999,526 : 71,054,284 = 71,054,284 : x
  2. Step 2: Convert to fraction form
    32,999,526/71,054,284 = 71,054,284/x
  3. Step 3: Cross multiply
    32,999,526x = 71,054,284 × 71,054,284
  4. Step 4: Simplify right side
    32,999,526x = 5,048,711,274,752,656
  5. Step 5: Solve for x
    x = 5,048,711,274,752,656/32,999,526
  6. Step 6: Final answer
    x = 152,993,448.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.