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Finding the Third Proportional to 64,602,972 and 99,299,214

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Solution

The third proportional to 64,602,972 and 99,299,214 is: 152,629,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602,972 : 99,299,214 = 99,299,214 : x
  2. Step 2: Convert to fraction form
    64,602,972/99,299,214 = 99,299,214/x
  3. Step 3: Cross multiply
    64,602,972x = 99,299,214 × 99,299,214
  4. Step 4: Simplify right side
    64,602,972x = 9,860,333,901,017,796
  5. Step 5: Solve for x
    x = 9,860,333,901,017,796/64,602,972
  6. Step 6: Final answer
    x = 152,629,725.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.