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Finding the Third Proportional to 32,643,460 and 50,369,670

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Solution

The third proportional to 32,643,460 and 50,369,670 is: 77,721,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643,460 : 50,369,670 = 50,369,670 : x
  2. Step 2: Convert to fraction form
    32,643,460/50,369,670 = 50,369,670/x
  3. Step 3: Cross multiply
    32,643,460x = 50,369,670 × 50,369,670
  4. Step 4: Simplify right side
    32,643,460x = 2,537,103,655,908,900
  5. Step 5: Solve for x
    x = 2,537,103,655,908,900/32,643,460
  6. Step 6: Final answer
    x = 77,721,652.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.