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Finding the Third Proportional to 9,201,624 and 19,355,148

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Solution

The third proportional to 9,201,624 and 19,355,148 is: 40,712,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,624 : 19,355,148 = 19,355,148 : x
  2. Step 2: Convert to fraction form
    9,201,624/19,355,148 = 19,355,148/x
  3. Step 3: Cross multiply
    9,201,624x = 19,355,148 × 19,355,148
  4. Step 4: Simplify right side
    9,201,624x = 374,621,754,101,904
  5. Step 5: Solve for x
    x = 374,621,754,101,904/9,201,624
  6. Step 6: Final answer
    x = 40,712,569.23

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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.