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Finding the Third Proportional to 2,575,414,798 and 5,578,681,708

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Solution

The third proportional to 2,575,414,798 and 5,578,681,708 is: 12,084,146,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,414,798 : 5,578,681,708 = 5,578,681,708 : x
  2. Step 2: Convert to fraction form
    2,575,414,798/5,578,681,708 = 5,578,681,708/x
  3. Step 3: Cross multiply
    2,575,414,798x = 5,578,681,708 × 5,578,681,708
  4. Step 4: Simplify right side
    2,575,414,798x = 31,121,689,599,173,795,840
  5. Step 5: Solve for x
    x = 31,121,689,599,173,795,840/2,575,414,798
  6. Step 6: Final answer
    x = 12,084,146,454.13

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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.