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Finding the Third Proportional to 6,803,365,720 and 10,649,125,508

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Solution

The third proportional to 6,803,365,720 and 10,649,125,508 is: 16,668,789,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803,365,720 : 10,649,125,508 = 10,649,125,508 : x
  2. Step 2: Convert to fraction form
    6,803,365,720/10,649,125,508 = 10,649,125,508/x
  3. Step 3: Cross multiply
    6,803,365,720x = 10,649,125,508 × 10,649,125,508
  4. Step 4: Simplify right side
    6,803,365,720x = 113,403,874,085,136,252,928
  5. Step 5: Solve for x
    x = 113,403,874,085,136,252,928/6,803,365,720
  6. Step 6: Final answer
    x = 16,668,789,941.98

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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.