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Finding the Third Proportional to 5,706,596,844 and 11,573,650,216

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Solution

The third proportional to 5,706,596,844 and 11,573,650,216 is: 23,472,725,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,596,844 : 11,573,650,216 = 11,573,650,216 : x
  2. Step 2: Convert to fraction form
    5,706,596,844/11,573,650,216 = 11,573,650,216/x
  3. Step 3: Cross multiply
    5,706,596,844x = 11,573,650,216 × 11,573,650,216
  4. Step 4: Simplify right side
    5,706,596,844x = 133,949,379,322,316,849,152
  5. Step 5: Solve for x
    x = 133,949,379,322,316,849,152/5,706,596,844
  6. Step 6: Final answer
    x = 23,472,725,160.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.