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Finding the Third Proportional to 7,229,931,984 and 11,172,088,512

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Solution

The third proportional to 7,229,931,984 and 11,172,088,512 is: 17,263,725,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229,931,984 : 11,172,088,512 = 11,172,088,512 : x
  2. Step 2: Convert to fraction form
    7,229,931,984/11,172,088,512 = 11,172,088,512/x
  3. Step 3: Cross multiply
    7,229,931,984x = 11,172,088,512 × 11,172,088,512
  4. Step 4: Simplify right side
    7,229,931,984x = 124,815,561,719,962,370,048
  5. Step 5: Solve for x
    x = 124,815,561,719,962,370,048/7,229,931,984
  6. Step 6: Final answer
    x = 17,263,725,578.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.