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Finding the Third Proportional to 32,785,827 and 48,913,020

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Solution

The third proportional to 32,785,827 and 48,913,020 is: 72,973,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785,827 : 48,913,020 = 48,913,020 : x
  2. Step 2: Convert to fraction form
    32,785,827/48,913,020 = 48,913,020/x
  3. Step 3: Cross multiply
    32,785,827x = 48,913,020 × 48,913,020
  4. Step 4: Simplify right side
    32,785,827x = 2,392,483,525,520,400
  5. Step 5: Solve for x
    x = 2,392,483,525,520,400/32,785,827
  6. Step 6: Final answer
    x = 72,973,102.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.