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Finding the Third Proportional to 748,692,288 and 1,615,763,052

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Solution

The third proportional to 748,692,288 and 1,615,763,052 is: 3,487,000,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,692,288 : 1,615,763,052 = 1,615,763,052 : x
  2. Step 2: Convert to fraction form
    748,692,288/1,615,763,052 = 1,615,763,052/x
  3. Step 3: Cross multiply
    748,692,288x = 1,615,763,052 × 1,615,763,052
  4. Step 4: Simplify right side
    748,692,288x = 2,610,690,240,208,354,816
  5. Step 5: Solve for x
    x = 2,610,690,240,208,354,816/748,692,288
  6. Step 6: Final answer
    x = 3,487,000,309.81

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