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Finding the Third Proportional to 12,807,038.53 and 19,673,177.63

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Solution

The third proportional to 12,807,038.53 and 19,673,177.63 is: 30,220,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807,038.53 : 19,673,177.63 = 19,673,177.63 : x
  2. Step 2: Convert to fraction form
    12,807,038.53/19,673,177.63 = 19,673,177.63/x
  3. Step 3: Cross multiply
    12,807,038.53x = 19,673,177.63 × 19,673,177.63
  4. Step 4: Simplify right side
    12,807,038.53x = 387,033,917,864,800.62
  5. Step 5: Solve for x
    x = 387,033,917,864,800.62/12,807,038.53
  6. Step 6: Final answer
    x = 30,220,407.08

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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.