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Finding the Third Proportional to 290,271,104 and 626,718,688

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Solution

The third proportional to 290,271,104 and 626,718,688 is: 1,353,136,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271,104 : 626,718,688 = 626,718,688 : x
  2. Step 2: Convert to fraction form
    290,271,104/626,718,688 = 626,718,688/x
  3. Step 3: Cross multiply
    290,271,104x = 626,718,688 × 626,718,688
  4. Step 4: Simplify right side
    290,271,104x = 392,776,313,888,441,344
  5. Step 5: Solve for x
    x = 392,776,313,888,441,344/290,271,104
  6. Step 6: Final answer
    x = 1,353,136,114.74

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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.