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Finding the Third Proportional to 7,782,726,210,066 and 16,736,725,952,900

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Solution

The third proportional to 7,782,726,210,066 and 16,736,725,952,900 is: 35,992,271,610,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,726,210,066 : 16,736,725,952,900 = 16,736,725,952,900 : x
  2. Step 2: Convert to fraction form
    7,782,726,210,066/16,736,725,952,900 = 16,736,725,952,900/x
  3. Step 3: Cross multiply
    7,782,726,210,066x = 16,736,725,952,900 × 16,736,725,952,900
  4. Step 4: Simplify right side
    7,782,726,210,066x = 280,117,995,622,476,402,955,124,736
  5. Step 5: Solve for x
    x = 280,117,995,622,476,402,955,124,736/7,782,726,210,066
  6. Step 6: Final answer
    x = 35,992,271,610,451.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.