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Finding the Third Proportional to 9,007,983 and 13,959,913.50

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Solution

The third proportional to 9,007,983 and 13,959,913.50 is: 21,634,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007,983 : 13,959,913.50 = 13,959,913.50 : x
  2. Step 2: Convert to fraction form
    9,007,983/13,959,913.50 = 13,959,913.50/x
  3. Step 3: Cross multiply
    9,007,983x = 13,959,913.50 × 13,959,913.50
  4. Step 4: Simplify right side
    9,007,983x = 194,879,184,927,482.25
  5. Step 5: Solve for x
    x = 194,879,184,927,482.25/9,007,983
  6. Step 6: Final answer
    x = 21,634,053.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.