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Finding the Third Proportional to 1,033,860,495,912 and 1,588,136,305,788

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Solution

The third proportional to 1,033,860,495,912 and 1,588,136,305,788 is: 2,439,571,814,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,860,495,912 : 1,588,136,305,788 = 1,588,136,305,788 : x
  2. Step 2: Convert to fraction form
    1,033,860,495,912/1,588,136,305,788 = 1,588,136,305,788/x
  3. Step 3: Cross multiply
    1,033,860,495,912x = 1,588,136,305,788 × 1,588,136,305,788
  4. Step 4: Simplify right side
    1,033,860,495,912x = 2,522,176,925,761,956,017,602,560
  5. Step 5: Solve for x
    x = 2,522,176,925,761,956,017,602,560/1,033,860,495,912
  6. Step 6: Final answer
    x = 2,439,571,814,316.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.