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Finding the Third Proportional to 35,459,611 and 77,645,191

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Solution

The third proportional to 35,459,611 and 77,645,191 is: 170,018,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459,611 : 77,645,191 = 77,645,191 : x
  2. Step 2: Convert to fraction form
    35,459,611/77,645,191 = 77,645,191/x
  3. Step 3: Cross multiply
    35,459,611x = 77,645,191 × 77,645,191
  4. Step 4: Simplify right side
    35,459,611x = 6,028,775,685,426,481
  5. Step 5: Solve for x
    x = 6,028,775,685,426,481/35,459,611
  6. Step 6: Final answer
    x = 170,018,099.90

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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.