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Finding the Third Proportional to 32,558,375,962 and 70,525,692,026

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Solution

The third proportional to 32,558,375,962 and 70,525,692,026 is: 152,767,854,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,558,375,962 : 70,525,692,026 = 70,525,692,026 : x
  2. Step 2: Convert to fraction form
    32,558,375,962/70,525,692,026 = 70,525,692,026/x
  3. Step 3: Cross multiply
    32,558,375,962x = 70,525,692,026 × 70,525,692,026
  4. Step 4: Simplify right side
    32,558,375,962x = 4,973,873,235,746,199,961,600
  5. Step 5: Solve for x
    x = 4,973,873,235,746,199,961,600/32,558,375,962
  6. Step 6: Final answer
    x = 152,767,854,316.55

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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.