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Finding the Third Proportional to 1,018,319,083 and 2,198,904,817

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Solution

The third proportional to 1,018,319,083 and 2,198,904,817 is: 4,748,199,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,319,083 : 2,198,904,817 = 2,198,904,817 : x
  2. Step 2: Convert to fraction form
    1,018,319,083/2,198,904,817 = 2,198,904,817/x
  3. Step 3: Cross multiply
    1,018,319,083x = 2,198,904,817 × 2,198,904,817
  4. Step 4: Simplify right side
    1,018,319,083x = 4,835,182,394,225,803,264
  5. Step 5: Solve for x
    x = 4,835,182,394,225,803,264/1,018,319,083
  6. Step 6: Final answer
    x = 4,748,199,729.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.