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Finding the Third Proportional to 1,520,871,913 and 3,260,018,414

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Solution

The third proportional to 1,520,871,913 and 3,260,018,414 is: 6,987,912,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,871,913 : 3,260,018,414 = 3,260,018,414 : x
  2. Step 2: Convert to fraction form
    1,520,871,913/3,260,018,414 = 3,260,018,414/x
  3. Step 3: Cross multiply
    1,520,871,913x = 3,260,018,414 × 3,260,018,414
  4. Step 4: Simplify right side
    1,520,871,913x = 10,627,720,059,619,076,096
  5. Step 5: Solve for x
    x = 10,627,720,059,619,076,096/1,520,871,913
  6. Step 6: Final answer
    x = 6,987,912,636.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.