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Finding the Third Proportional to 1,159,792,480,042 and 2,352,655,005,608

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Solution

The third proportional to 1,159,792,480,042 and 2,352,655,005,608 is: 4,772,393,053,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,792,480,042 : 2,352,655,005,608 = 2,352,655,005,608 : x
  2. Step 2: Convert to fraction form
    1,159,792,480,042/2,352,655,005,608 = 2,352,655,005,608/x
  3. Step 3: Cross multiply
    1,159,792,480,042x = 2,352,655,005,608 × 2,352,655,005,608
  4. Step 4: Simplify right side
    1,159,792,480,042x = 5,534,985,575,412,378,326,007,808
  5. Step 5: Solve for x
    x = 5,534,985,575,412,378,326,007,808/1,159,792,480,042
  6. Step 6: Final answer
    x = 4,772,393,053,636.58

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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.