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Finding the Third Proportional to 1,512,634,692 and 3,290,298,792

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Solution

The third proportional to 1,512,634,692 and 3,290,298,792 is: 7,157,092,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,634,692 : 3,290,298,792 = 3,290,298,792 : x
  2. Step 2: Convert to fraction form
    1,512,634,692/3,290,298,792 = 3,290,298,792/x
  3. Step 3: Cross multiply
    1,512,634,692x = 3,290,298,792 × 3,290,298,792
  4. Step 4: Simplify right side
    1,512,634,692x = 10,826,066,140,636,659,712
  5. Step 5: Solve for x
    x = 10,826,066,140,636,659,712/1,512,634,692
  6. Step 6: Final answer
    x = 7,157,092,322.35

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Why These Related Problems?

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