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Finding the Third Proportional to 55,884,219,580 and 121,882,894,764

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Solution

The third proportional to 55,884,219,580 and 121,882,894,764 is: 265,825,310,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884,219,580 : 121,882,894,764 = 121,882,894,764 : x
  2. Step 2: Convert to fraction form
    55,884,219,580/121,882,894,764 = 121,882,894,764/x
  3. Step 3: Cross multiply
    55,884,219,580x = 121,882,894,764 × 121,882,894,764
  4. Step 4: Simplify right side
    55,884,219,580x = 14,855,440,036,052,298,891,264
  5. Step 5: Solve for x
    x = 14,855,440,036,052,298,891,264/55,884,219,580
  6. Step 6: Final answer
    x = 265,825,310,753.18

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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.