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Finding the Third Proportional to 290,271,106 and 626,718,692

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Solution

The third proportional to 290,271,106 and 626,718,692 is: 1,353,136,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271,106 : 626,718,692 = 626,718,692 : x
  2. Step 2: Convert to fraction form
    290,271,106/626,718,692 = 626,718,692/x
  3. Step 3: Cross multiply
    290,271,106x = 626,718,692 × 626,718,692
  4. Step 4: Simplify right side
    290,271,106x = 392,776,318,902,190,848
  5. Step 5: Solve for x
    x = 392,776,318,902,190,848/290,271,106
  6. Step 6: Final answer
    x = 1,353,136,122.69

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Why These Related Problems?

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