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Finding the Third Proportional to 3,575,838 and 7,831,902

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Solution

The third proportional to 3,575,838 and 7,831,902 is: 17,153,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575,838 : 7,831,902 = 7,831,902 : x
  2. Step 2: Convert to fraction form
    3,575,838/7,831,902 = 7,831,902/x
  3. Step 3: Cross multiply
    3,575,838x = 7,831,902 × 7,831,902
  4. Step 4: Simplify right side
    3,575,838x = 61,338,688,937,604
  5. Step 5: Solve for x
    x = 61,338,688,937,604/3,575,838
  6. Step 6: Final answer
    x = 17,153,654.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.