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Finding the Third Proportional to 461,719,353,108 and 992,925,881,133

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Solution

The third proportional to 461,719,353,108 and 992,925,881,133 is: 2,135,283,692,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,719,353,108 : 992,925,881,133 = 992,925,881,133 : x
  2. Step 2: Convert to fraction form
    461,719,353,108/992,925,881,133 = 992,925,881,133/x
  3. Step 3: Cross multiply
    461,719,353,108x = 992,925,881,133 × 992,925,881,133
  4. Step 4: Simplify right side
    461,719,353,108x = 985,901,805,423,744,480,444,416
  5. Step 5: Solve for x
    x = 985,901,805,423,744,480,444,416/461,719,353,108
  6. Step 6: Final answer
    x = 2,135,283,692,977.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.