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Finding the Third Proportional to 9,185,564 and 19,775,164

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Solution

The third proportional to 9,185,564 and 19,775,164 is: 42,573,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185,564 : 19,775,164 = 19,775,164 : x
  2. Step 2: Convert to fraction form
    9,185,564/19,775,164 = 19,775,164/x
  3. Step 3: Cross multiply
    9,185,564x = 19,775,164 × 19,775,164
  4. Step 4: Simplify right side
    9,185,564x = 391,057,111,226,896
  5. Step 5: Solve for x
    x = 391,057,111,226,896/9,185,564
  6. Step 6: Final answer
    x = 42,573,010.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.