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Finding the Third Proportional to 10,119,904 and 15,652,774

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Solution

The third proportional to 10,119,904 and 15,652,774 is: 24,210,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119,904 : 15,652,774 = 15,652,774 : x
  2. Step 2: Convert to fraction form
    10,119,904/15,652,774 = 15,652,774/x
  3. Step 3: Cross multiply
    10,119,904x = 15,652,774 × 15,652,774
  4. Step 4: Simplify right side
    10,119,904x = 245,009,333,895,076
  5. Step 5: Solve for x
    x = 245,009,333,895,076/10,119,904
  6. Step 6: Final answer
    x = 24,210,638.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.