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Finding the Third Proportional to 5,038,476.64 and 10,288,434.16

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Solution

The third proportional to 5,038,476.64 and 10,288,434.16 is: 21,008,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038,476.64 : 10,288,434.16 = 10,288,434.16 : x
  2. Step 2: Convert to fraction form
    5,038,476.64/10,288,434.16 = 10,288,434.16/x
  3. Step 3: Cross multiply
    5,038,476.64x = 10,288,434.16 × 10,288,434.16
  4. Step 4: Simplify right side
    5,038,476.64x = 105,851,877,548,238.16
  5. Step 5: Solve for x
    x = 105,851,877,548,238.16/5,038,476.64
  6. Step 6: Final answer
    x = 21,008,706.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.