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Finding the Third Proportional to 1,243,141,466 and 1,864,255,718

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Solution

The third proportional to 1,243,141,466 and 1,864,255,718 is: 2,795,699,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,141,466 : 1,864,255,718 = 1,864,255,718 : x
  2. Step 2: Convert to fraction form
    1,243,141,466/1,864,255,718 = 1,864,255,718/x
  3. Step 3: Cross multiply
    1,243,141,466x = 1,864,255,718 × 1,864,255,718
  4. Step 4: Simplify right side
    1,243,141,466x = 3,475,449,382,095,695,360
  5. Step 5: Solve for x
    x = 3,475,449,382,095,695,360/1,243,141,466
  6. Step 6: Final answer
    x = 2,795,699,023.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.