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Finding the Third Proportional to 748,692,290 and 1,615,763,056

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Solution

The third proportional to 748,692,290 and 1,615,763,056 is: 3,487,000,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,692,290 : 1,615,763,056 = 1,615,763,056 : x
  2. Step 2: Convert to fraction form
    748,692,290/1,615,763,056 = 1,615,763,056/x
  3. Step 3: Cross multiply
    748,692,290x = 1,615,763,056 × 1,615,763,056
  4. Step 4: Simplify right side
    748,692,290x = 2,610,690,253,134,458,880
  5. Step 5: Solve for x
    x = 2,610,690,253,134,458,880/748,692,290
  6. Step 6: Final answer
    x = 3,487,000,317.76

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Why These Related Problems?

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