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Finding the Third Proportional to 3,260,597,490 and 6,889,220,580

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Solution

The third proportional to 3,260,597,490 and 6,889,220,580 is: 14,556,031,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260,597,490 : 6,889,220,580 = 6,889,220,580 : x
  2. Step 2: Convert to fraction form
    3,260,597,490/6,889,220,580 = 6,889,220,580/x
  3. Step 3: Cross multiply
    3,260,597,490x = 6,889,220,580 × 6,889,220,580
  4. Step 4: Simplify right side
    3,260,597,490x = 47,461,360,199,895,539,712
  5. Step 5: Solve for x
    x = 47,461,360,199,895,539,712/3,260,597,490
  6. Step 6: Final answer
    x = 14,556,031,630.85

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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.