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Finding the Third Proportional to 71,317,896,834 and 155,450,258,890

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Solution

The third proportional to 71,317,896,834 and 155,450,258,890 is: 338,831,963,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317,896,834 : 155,450,258,890 = 155,450,258,890 : x
  2. Step 2: Convert to fraction form
    71,317,896,834/155,450,258,890 = 155,450,258,890/x
  3. Step 3: Cross multiply
    71,317,896,834x = 155,450,258,890 × 155,450,258,890
  4. Step 4: Simplify right side
    71,317,896,834x = 24,164,782,988,968,025,128,960
  5. Step 5: Solve for x
    x = 24,164,782,988,968,025,128,960/71,317,896,834
  6. Step 6: Final answer
    x = 338,831,963,107.58

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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.