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Finding the Third Proportional to 2,906,946,579 and 6,376,684,290

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Solution

The third proportional to 2,906,946,579 and 6,376,684,290 is: 13,987,908,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,579 : 6,376,684,290 = 6,376,684,290 : x
  2. Step 2: Convert to fraction form
    2,906,946,579/6,376,684,290 = 6,376,684,290/x
  3. Step 3: Cross multiply
    2,906,946,579x = 6,376,684,290 × 6,376,684,290
  4. Step 4: Simplify right side
    2,906,946,579x = 40,662,102,534,332,801,024
  5. Step 5: Solve for x
    x = 40,662,102,534,332,801,024/2,906,946,579
  6. Step 6: Final answer
    x = 13,987,908,421.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.