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Finding the Third Proportional to 32,846,573 and 77,537,419

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Solution

The third proportional to 32,846,573 and 77,537,419 is: 183,034,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846,573 : 77,537,419 = 77,537,419 : x
  2. Step 2: Convert to fraction form
    32,846,573/77,537,419 = 77,537,419/x
  3. Step 3: Cross multiply
    32,846,573x = 77,537,419 × 77,537,419
  4. Step 4: Simplify right side
    32,846,573x = 6,012,051,345,181,561
  5. Step 5: Solve for x
    x = 6,012,051,345,181,561/32,846,573
  6. Step 6: Final answer
    x = 183,034,356.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.