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Finding the Third Proportional to 575,185,415 and 1,257,987,970

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Solution

The third proportional to 575,185,415 and 1,257,987,970 is: 2,751,345,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,185,415 : 1,257,987,970 = 1,257,987,970 : x
  2. Step 2: Convert to fraction form
    575,185,415/1,257,987,970 = 1,257,987,970/x
  3. Step 3: Cross multiply
    575,185,415x = 1,257,987,970 × 1,257,987,970
  4. Step 4: Simplify right side
    575,185,415x = 1,582,533,732,664,720,896
  5. Step 5: Solve for x
    x = 1,582,533,732,664,720,896/575,185,415
  6. Step 6: Final answer
    x = 2,751,345,377.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.