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Finding the Third Proportional to 45,454,476 and 97,655,064

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Solution

The third proportional to 45,454,476 and 97,655,064 is: 209,803,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,454,476 : 97,655,064 = 97,655,064 : x
  2. Step 2: Convert to fraction form
    45,454,476/97,655,064 = 97,655,064/x
  3. Step 3: Cross multiply
    45,454,476x = 97,655,064 × 97,655,064
  4. Step 4: Simplify right side
    45,454,476x = 9,536,511,524,844,096
  5. Step 5: Solve for x
    x = 9,536,511,524,844,096/45,454,476
  6. Step 6: Final answer
    x = 209,803,574.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.