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Finding the Third Proportional to 10,012,584,798 and 21,766,770,684

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Solution

The third proportional to 10,012,584,798 and 21,766,770,684 is: 47,319,679,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,584,798 : 21,766,770,684 = 21,766,770,684 : x
  2. Step 2: Convert to fraction form
    10,012,584,798/21,766,770,684 = 21,766,770,684/x
  3. Step 3: Cross multiply
    10,012,584,798x = 21,766,770,684 × 21,766,770,684
  4. Step 4: Simplify right side
    10,012,584,798x = 473,792,306,009,841,860,608
  5. Step 5: Solve for x
    x = 473,792,306,009,841,860,608/10,012,584,798
  6. Step 6: Final answer
    x = 47,319,679,739.89

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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.