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Finding the Third Proportional to 76,648,038 and 163,330,032

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Solution

The third proportional to 76,648,038 and 163,330,032 is: 348,041,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648,038 : 163,330,032 = 163,330,032 : x
  2. Step 2: Convert to fraction form
    76,648,038/163,330,032 = 163,330,032/x
  3. Step 3: Cross multiply
    76,648,038x = 163,330,032 × 163,330,032
  4. Step 4: Simplify right side
    76,648,038x = 26,676,699,353,121,024
  5. Step 5: Solve for x
    x = 26,676,699,353,121,024/76,648,038
  6. Step 6: Final answer
    x = 348,041,516.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.