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Finding the Third Proportional to 846,833,136 and 1,834,383,729

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Solution

The third proportional to 846,833,136 and 1,834,383,729 is: 3,973,585,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,833,136 : 1,834,383,729 = 1,834,383,729 : x
  2. Step 2: Convert to fraction form
    846,833,136/1,834,383,729 = 1,834,383,729/x
  3. Step 3: Cross multiply
    846,833,136x = 1,834,383,729 × 1,834,383,729
  4. Step 4: Simplify right side
    846,833,136x = 3,364,963,665,219,945,472
  5. Step 5: Solve for x
    x = 3,364,963,665,219,945,472/846,833,136
  6. Step 6: Final answer
    x = 3,973,585,258.03

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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.