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Finding the Third Proportional to 9,011,951.16 and 13,963,212.84

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Solution

The third proportional to 9,011,951.16 and 13,963,212.84 is: 21,634,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011,951.16 : 13,963,212.84 = 13,963,212.84 : x
  2. Step 2: Convert to fraction form
    9,011,951.16/13,963,212.84 = 13,963,212.84/x
  3. Step 3: Cross multiply
    9,011,951.16x = 13,963,212.84 × 13,963,212.84
  4. Step 4: Simplify right side
    9,011,951.16x = 194,971,312,919,864.97
  5. Step 5: Solve for x
    x = 194,971,312,919,864.97/9,011,951.16
  6. Step 6: Final answer
    x = 21,634,750.29

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1.5x scale

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.