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Finding the Third Proportional to 10,390,409,644 and 22,685,384,600

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Solution

The third proportional to 10,390,409,644 and 22,685,384,600 is: 49,529,007,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390,409,644 : 22,685,384,600 = 22,685,384,600 : x
  2. Step 2: Convert to fraction form
    10,390,409,644/22,685,384,600 = 22,685,384,600/x
  3. Step 3: Cross multiply
    10,390,409,644x = 22,685,384,600 × 22,685,384,600
  4. Step 4: Simplify right side
    10,390,409,644x = 514,626,674,449,917,149,184
  5. Step 5: Solve for x
    x = 514,626,674,449,917,149,184/10,390,409,644
  6. Step 6: Final answer
    x = 49,529,007,236.70

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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.