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Finding the Third Proportional to 3,260,597,376 and 6,889,220,352

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Solution

The third proportional to 3,260,597,376 and 6,889,220,352 is: 14,556,031,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260,597,376 : 6,889,220,352 = 6,889,220,352 : x
  2. Step 2: Convert to fraction form
    3,260,597,376/6,889,220,352 = 6,889,220,352/x
  3. Step 3: Cross multiply
    3,260,597,376x = 6,889,220,352 × 6,889,220,352
  4. Step 4: Simplify right side
    3,260,597,376x = 47,461,357,058,411,003,904
  5. Step 5: Solve for x
    x = 47,461,357,058,411,003,904/3,260,597,376
  6. Step 6: Final answer
    x = 14,556,031,176.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.