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Finding the Third Proportional to 290,271,100 and 626,718,680

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Solution

The third proportional to 290,271,100 and 626,718,680 is: 1,353,136,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271,100 : 626,718,680 = 626,718,680 : x
  2. Step 2: Convert to fraction form
    290,271,100/626,718,680 = 626,718,680/x
  3. Step 3: Cross multiply
    290,271,100x = 626,718,680 × 626,718,680
  4. Step 4: Simplify right side
    290,271,100x = 392,776,303,860,942,400
  5. Step 5: Solve for x
    x = 392,776,303,860,942,400/290,271,100
  6. Step 6: Final answer
    x = 1,353,136,098.84

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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.