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Finding the Third Proportional to 8,036,707.50 and 17,634,258

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Solution

The third proportional to 8,036,707.50 and 17,634,258 is: 38,693,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036,707.50 : 17,634,258 = 17,634,258 : x
  2. Step 2: Convert to fraction form
    8,036,707.50/17,634,258 = 17,634,258/x
  3. Step 3: Cross multiply
    8,036,707.50x = 17,634,258 × 17,634,258
  4. Step 4: Simplify right side
    8,036,707.50x = 310,967,055,210,564
  5. Step 5: Solve for x
    x = 310,967,055,210,564/8,036,707.50
  6. Step 6: Final answer
    x = 38,693,339.93

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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.