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Finding the Third Proportional to 6,803,365,746 and 10,649,125,545

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Solution

The third proportional to 6,803,365,746 and 10,649,125,545 is: 16,668,789,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803,365,746 : 10,649,125,545 = 10,649,125,545 : x
  2. Step 2: Convert to fraction form
    6,803,365,746/10,649,125,545 = 10,649,125,545/x
  3. Step 3: Cross multiply
    6,803,365,746x = 10,649,125,545 × 10,649,125,545
  4. Step 4: Simplify right side
    6,803,365,746x = 113,403,874,873,171,542,016
  5. Step 5: Solve for x
    x = 113,403,874,873,171,542,016/6,803,365,746
  6. Step 6: Final answer
    x = 16,668,789,994.11

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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.