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Finding the Third Proportional to 32,144,819 and 48,516,158

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Solution

The third proportional to 32,144,819 and 48,516,158 is: 73,225,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144,819 : 48,516,158 = 48,516,158 : x
  2. Step 2: Convert to fraction form
    32,144,819/48,516,158 = 48,516,158/x
  3. Step 3: Cross multiply
    32,144,819x = 48,516,158 × 48,516,158
  4. Step 4: Simplify right side
    32,144,819x = 2,353,817,587,080,964
  5. Step 5: Solve for x
    x = 2,353,817,587,080,964/32,144,819
  6. Step 6: Final answer
    x = 73,225,411.13

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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.