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Finding the Third Proportional to 61,289,374,515.75 and 86,271,335,300

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Solution

The third proportional to 61,289,374,515.75 and 86,271,335,300 is: 121,436,111,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,289,374,515.75 : 86,271,335,300 = 86,271,335,300 : x
  2. Step 2: Convert to fraction form
    61,289,374,515.75/86,271,335,300 = 86,271,335,300/x
  3. Step 3: Cross multiply
    61,289,374,515.75x = 86,271,335,300 × 86,271,335,300
  4. Step 4: Simplify right side
    61,289,374,515.75x = 7,442,743,294,445,025,755,136
  5. Step 5: Solve for x
    x = 7,442,743,294,445,025,755,136/61,289,374,515.75
  6. Step 6: Final answer
    x = 121,436,111,124.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.