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Finding the Third Proportional to 12,338,583 and 19,703,433

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Solution

The third proportional to 12,338,583 and 19,703,433 is: 31,464,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338,583 : 19,703,433 = 19,703,433 : x
  2. Step 2: Convert to fraction form
    12,338,583/19,703,433 = 19,703,433/x
  3. Step 3: Cross multiply
    12,338,583x = 19,703,433 × 19,703,433
  4. Step 4: Simplify right side
    12,338,583x = 388,225,271,985,489
  5. Step 5: Solve for x
    x = 388,225,271,985,489/12,338,583
  6. Step 6: Final answer
    x = 31,464,332.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.