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Finding the Third Proportional to 12,760,971.75 and 19,614,528

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Solution

The third proportional to 12,760,971.75 and 19,614,528 is: 30,148,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760,971.75 : 19,614,528 = 19,614,528 : x
  2. Step 2: Convert to fraction form
    12,760,971.75/19,614,528 = 19,614,528/x
  3. Step 3: Cross multiply
    12,760,971.75x = 19,614,528 × 19,614,528
  4. Step 4: Simplify right side
    12,760,971.75x = 384,729,708,662,784
  5. Step 5: Solve for x
    x = 384,729,708,662,784/12,760,971.75
  6. Step 6: Final answer
    x = 30,148,935.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.