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Finding the Third Proportional to 64,017,309,591,102 and 86,374,381,553,153

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Solution

The third proportional to 64,017,309,591,102 and 86,374,381,553,153 is: 116,539,320,948,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017,309,591,102 : 86,374,381,553,153 = 86,374,381,553,153 : x
  2. Step 2: Convert to fraction form
    64,017,309,591,102/86,374,381,553,153 = 86,374,381,553,153/x
  3. Step 3: Cross multiply
    64,017,309,591,102x = 86,374,381,553,153 × 86,374,381,553,153
  4. Step 4: Simplify right side
    64,017,309,591,102x = 7,460,533,788,689,656,988,779,413,504
  5. Step 5: Solve for x
    x = 7,460,533,788,689,656,988,779,413,504/64,017,309,591,102
  6. Step 6: Final answer
    x = 116,539,320,948,386.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.