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Finding the Third Proportional to 380,966,312 and 826,877,584

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Solution

The third proportional to 380,966,312 and 826,877,584 is: 1,794,716,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,966,312 : 826,877,584 = 826,877,584 : x
  2. Step 2: Convert to fraction form
    380,966,312/826,877,584 = 826,877,584/x
  3. Step 3: Cross multiply
    380,966,312x = 826,877,584 × 826,877,584
  4. Step 4: Simplify right side
    380,966,312x = 683,726,538,921,677,056
  5. Step 5: Solve for x
    x = 683,726,538,921,677,056/380,966,312
  6. Step 6: Final answer
    x = 1,794,716,533.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.