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Finding the Third Proportional to 32,254,038 and 49,941,117

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Solution

The third proportional to 32,254,038 and 49,941,117 is: 77,327,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254,038 : 49,941,117 = 49,941,117 : x
  2. Step 2: Convert to fraction form
    32,254,038/49,941,117 = 49,941,117/x
  3. Step 3: Cross multiply
    32,254,038x = 49,941,117 × 49,941,117
  4. Step 4: Simplify right side
    32,254,038x = 2,494,115,167,207,689
  5. Step 5: Solve for x
    x = 2,494,115,167,207,689/32,254,038
  6. Step 6: Final answer
    x = 77,327,222.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.