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Finding the Third Proportional to 45,553,676,810,212 and 99,810,265,182,968

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Solution

The third proportional to 45,553,676,810,212 and 99,810,265,182,968 is: 218,689,022,126,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,553,676,810,212 : 99,810,265,182,968 = 99,810,265,182,968 : x
  2. Step 2: Convert to fraction form
    45,553,676,810,212/99,810,265,182,968 = 99,810,265,182,968/x
  3. Step 3: Cross multiply
    45,553,676,810,212x = 99,810,265,182,968 × 99,810,265,182,968
  4. Step 4: Simplify right side
    45,553,676,810,212x = 9,962,089,035,894,393,930,650,746,880
  5. Step 5: Solve for x
    x = 9,962,089,035,894,393,930,650,746,880/45,553,676,810,212
  6. Step 6: Final answer
    x = 218,689,022,126,555.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.