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Finding the Third Proportional to 6,553,323 and 9,829,977.75

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Solution

The third proportional to 6,553,323 and 9,829,977.75 is: 14,744,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,323 : 9,829,977.75 = 9,829,977.75 : x
  2. Step 2: Convert to fraction form
    6,553,323/9,829,977.75 = 9,829,977.75/x
  3. Step 3: Cross multiply
    6,553,323x = 9,829,977.75 × 9,829,977.75
  4. Step 4: Simplify right side
    6,553,323x = 96,628,462,565,495.06
  5. Step 5: Solve for x
    x = 96,628,462,565,495.06/6,553,323
  6. Step 6: Final answer
    x = 14,744,956.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.