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Finding the Third Proportional to 2,990,046,031 and 6,440,142,577

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Solution

The third proportional to 2,990,046,031 and 6,440,142,577 is: 13,871,169,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990,046,031 : 6,440,142,577 = 6,440,142,577 : x
  2. Step 2: Convert to fraction form
    2,990,046,031/6,440,142,577 = 6,440,142,577/x
  3. Step 3: Cross multiply
    2,990,046,031x = 6,440,142,577 × 6,440,142,577
  4. Step 4: Simplify right side
    2,990,046,031x = 41,475,436,412,088,197,120
  5. Step 5: Solve for x
    x = 41,475,436,412,088,197,120/2,990,046,031
  6. Step 6: Final answer
    x = 13,871,169,868.99

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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.