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Finding the Third Proportional to 9,196,978.50 and 13,922,703.75

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Solution

The third proportional to 9,196,978.50 and 13,922,703.75 is: 21,076,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196,978.50 : 13,922,703.75 = 13,922,703.75 : x
  2. Step 2: Convert to fraction form
    9,196,978.50/13,922,703.75 = 13,922,703.75/x
  3. Step 3: Cross multiply
    9,196,978.50x = 13,922,703.75 × 13,922,703.75
  4. Step 4: Simplify right side
    9,196,978.50x = 193,841,679,710,264.06
  5. Step 5: Solve for x
    x = 193,841,679,710,264.06/9,196,978.50
  6. Step 6: Final answer
    x = 21,076,669.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.