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Finding the Third Proportional to 1,615,772,840 and 2,456,237,924

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Solution

The third proportional to 1,615,772,840 and 2,456,237,924 is: 3,733,881,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,772,840 : 2,456,237,924 = 2,456,237,924 : x
  2. Step 2: Convert to fraction form
    1,615,772,840/2,456,237,924 = 2,456,237,924/x
  3. Step 3: Cross multiply
    1,615,772,840x = 2,456,237,924 × 2,456,237,924
  4. Step 4: Simplify right side
    1,615,772,840x = 6,033,104,739,295,830,016
  5. Step 5: Solve for x
    x = 6,033,104,739,295,830,016/1,615,772,840
  6. Step 6: Final answer
    x = 3,733,881,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.