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Finding the Third Proportional to 399,064,369,407 and 826,415,817,529.50

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Solution

The third proportional to 399,064,369,407 and 826,415,817,529.50 is: 1,711,410,879,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,064,369,407 : 826,415,817,529.50 = 826,415,817,529.50 : x
  2. Step 2: Convert to fraction form
    399,064,369,407/826,415,817,529.50 = 826,415,817,529.50/x
  3. Step 3: Cross multiply
    399,064,369,407x = 826,415,817,529.50 × 826,415,817,529.50
  4. Step 4: Simplify right side
    399,064,369,407x = 682,963,103,462,951,852,441,600
  5. Step 5: Solve for x
    x = 682,963,103,462,951,852,441,600/399,064,369,407
  6. Step 6: Final answer
    x = 1,711,410,879,597.74

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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.