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Finding the Third Proportional to 55,884,219,560 and 121,882,894,725

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Solution

The third proportional to 55,884,219,560 and 121,882,894,725 is: 265,825,310,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884,219,560 : 121,882,894,725 = 121,882,894,725 : x
  2. Step 2: Convert to fraction form
    55,884,219,560/121,882,894,725 = 121,882,894,725/x
  3. Step 3: Cross multiply
    55,884,219,560x = 121,882,894,725 × 121,882,894,725
  4. Step 4: Simplify right side
    55,884,219,560x = 14,855,440,026,545,432,821,760
  5. Step 5: Solve for x
    x = 14,855,440,026,545,432,821,760/55,884,219,560
  6. Step 6: Final answer
    x = 265,825,310,678.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.