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Finding the Third Proportional to 32,144,820 and 48,516,159

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Solution

The third proportional to 32,144,820 and 48,516,159 is: 73,225,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144,820 : 48,516,159 = 48,516,159 : x
  2. Step 2: Convert to fraction form
    32,144,820/48,516,159 = 48,516,159/x
  3. Step 3: Cross multiply
    32,144,820x = 48,516,159 × 48,516,159
  4. Step 4: Simplify right side
    32,144,820x = 2,353,817,684,113,281
  5. Step 5: Solve for x
    x = 2,353,817,684,113,281/32,144,820
  6. Step 6: Final answer
    x = 73,225,411.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.