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Finding the Third Proportional to 7,968,614,725 and 11,909,002,752

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Solution

The third proportional to 7,968,614,725 and 11,909,002,752 is: 17,797,867,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968,614,725 : 11,909,002,752 = 11,909,002,752 : x
  2. Step 2: Convert to fraction form
    7,968,614,725/11,909,002,752 = 11,909,002,752/x
  3. Step 3: Cross multiply
    7,968,614,725x = 11,909,002,752 × 11,909,002,752
  4. Step 4: Simplify right side
    7,968,614,725x = 141,824,346,547,143,573,504
  5. Step 5: Solve for x
    x = 141,824,346,547,143,573,504/7,968,614,725
  6. Step 6: Final answer
    x = 17,797,867,187.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.