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Finding the Third Proportional to 63,034,678 and 138,027,152

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Solution

The third proportional to 63,034,678 and 138,027,152 is: 302,238,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,034,678 : 138,027,152 = 138,027,152 : x
  2. Step 2: Convert to fraction form
    63,034,678/138,027,152 = 138,027,152/x
  3. Step 3: Cross multiply
    63,034,678x = 138,027,152 × 138,027,152
  4. Step 4: Simplify right side
    63,034,678x = 19,051,494,689,231,104
  5. Step 5: Solve for x
    x = 19,051,494,689,231,104/63,034,678
  6. Step 6: Final answer
    x = 302,238,312.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.