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Finding the Third Proportional to 6,803,365,722 and 10,649,125,511

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Solution

The third proportional to 6,803,365,722 and 10,649,125,511 is: 16,668,789,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803,365,722 : 10,649,125,511 = 10,649,125,511 : x
  2. Step 2: Convert to fraction form
    6,803,365,722/10,649,125,511 = 10,649,125,511/x
  3. Step 3: Cross multiply
    6,803,365,722x = 10,649,125,511 × 10,649,125,511
  4. Step 4: Simplify right side
    6,803,365,722x = 113,403,874,149,031,018,496
  5. Step 5: Solve for x
    x = 113,403,874,149,031,018,496/6,803,365,722
  6. Step 6: Final answer
    x = 16,668,789,946.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.