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Finding the Third Proportional to 640,518,610 and 1,398,485,924

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Solution

The third proportional to 640,518,610 and 1,398,485,924 is: 3,053,405,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,518,610 : 1,398,485,924 = 1,398,485,924 : x
  2. Step 2: Convert to fraction form
    640,518,610/1,398,485,924 = 1,398,485,924/x
  3. Step 3: Cross multiply
    640,518,610x = 1,398,485,924 × 1,398,485,924
  4. Step 4: Simplify right side
    640,518,610x = 1,955,762,879,626,133,760
  5. Step 5: Solve for x
    x = 1,955,762,879,626,133,760/640,518,610
  6. Step 6: Final answer
    x = 3,053,405,239.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.