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Finding the Third Proportional to 71,317,896,855 and 155,450,258,925

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Solution

The third proportional to 71,317,896,855 and 155,450,258,925 is: 338,831,963,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317,896,855 : 155,450,258,925 = 155,450,258,925 : x
  2. Step 2: Convert to fraction form
    71,317,896,855/155,450,258,925 = 155,450,258,925/x
  3. Step 3: Cross multiply
    71,317,896,855x = 155,450,258,925 × 155,450,258,925
  4. Step 4: Simplify right side
    71,317,896,855x = 24,164,782,999,849,542,877,184
  5. Step 5: Solve for x
    x = 24,164,782,999,849,542,877,184/71,317,896,855
  6. Step 6: Final answer
    x = 338,831,963,160.39

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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.