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Finding the Third Proportional to 7,937,203.50 and 17,387,784

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Solution

The third proportional to 7,937,203.50 and 17,387,784 is: 38,090,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937,203.50 : 17,387,784 = 17,387,784 : x
  2. Step 2: Convert to fraction form
    7,937,203.50/17,387,784 = 17,387,784/x
  3. Step 3: Cross multiply
    7,937,203.50x = 17,387,784 × 17,387,784
  4. Step 4: Simplify right side
    7,937,203.50x = 302,335,032,430,656
  5. Step 5: Solve for x
    x = 302,335,032,430,656/7,937,203.50
  6. Step 6: Final answer
    x = 38,090,875.76

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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.