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Finding the Third Proportional to 399,064,369,408 and 826,415,817,531.50

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Solution

The third proportional to 399,064,369,408 and 826,415,817,531.50 is: 1,711,410,879,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,064,369,408 : 826,415,817,531.50 = 826,415,817,531.50 : x
  2. Step 2: Convert to fraction form
    399,064,369,408/826,415,817,531.50 = 826,415,817,531.50/x
  3. Step 3: Cross multiply
    399,064,369,408x = 826,415,817,531.50 × 826,415,817,531.50
  4. Step 4: Simplify right side
    399,064,369,408x = 682,963,103,466,257,500,864,512
  5. Step 5: Solve for x
    x = 682,963,103,466,257,500,864,512/399,064,369,408
  6. Step 6: Final answer
    x = 1,711,410,879,601.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.