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Finding the Third Proportional to 9,201,600 and 19,355,098.50

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Solution

The third proportional to 9,201,600 and 19,355,098.50 is: 40,712,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,600 : 19,355,098.50 = 19,355,098.50 : x
  2. Step 2: Convert to fraction form
    9,201,600/19,355,098.50 = 19,355,098.50/x
  3. Step 3: Cross multiply
    9,201,600x = 19,355,098.50 × 19,355,098.50
  4. Step 4: Simplify right side
    9,201,600x = 374,619,837,944,702.25
  5. Step 5: Solve for x
    x = 374,619,837,944,702.25/9,201,600
  6. Step 6: Final answer
    x = 40,712,467.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.