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Finding the Third Proportional to 488,731,577,688 and 1,052,156,557,512

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Solution

The third proportional to 488,731,577,688 and 1,052,156,557,512 is: 2,265,115,396,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,731,577,688 : 1,052,156,557,512 = 1,052,156,557,512 : x
  2. Step 2: Convert to fraction form
    488,731,577,688/1,052,156,557,512 = 1,052,156,557,512/x
  3. Step 3: Cross multiply
    488,731,577,688x = 1,052,156,557,512 × 1,052,156,557,512
  4. Step 4: Simplify right side
    488,731,577,688x = 1,107,033,421,515,502,573,846,528
  5. Step 5: Solve for x
    x = 1,107,033,421,515,502,573,846,528/488,731,577,688
  6. Step 6: Final answer
    x = 2,265,115,396,783.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.