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Finding the Third Proportional to 846,916,063 and 1,834,531,128

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Solution

The third proportional to 846,916,063 and 1,834,531,128 is: 3,973,834,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,916,063 : 1,834,531,128 = 1,834,531,128 : x
  2. Step 2: Convert to fraction form
    846,916,063/1,834,531,128 = 1,834,531,128/x
  3. Step 3: Cross multiply
    846,916,063x = 1,834,531,128 × 1,834,531,128
  4. Step 4: Simplify right side
    846,916,063x = 3,365,504,459,600,952,320
  5. Step 5: Solve for x
    x = 3,365,504,459,600,952,320/846,916,063
  6. Step 6: Final answer
    x = 3,973,834,724.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.