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Finding the Third Proportional to 656,777,948 and 1,427,871,736

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Solution

The third proportional to 656,777,948 and 1,427,871,736 is: 3,104,272,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,777,948 : 1,427,871,736 = 1,427,871,736 : x
  2. Step 2: Convert to fraction form
    656,777,948/1,427,871,736 = 1,427,871,736/x
  3. Step 3: Cross multiply
    656,777,948x = 1,427,871,736 × 1,427,871,736
  4. Step 4: Simplify right side
    656,777,948x = 2,038,817,694,467,653,632
  5. Step 5: Solve for x
    x = 2,038,817,694,467,653,632/656,777,948
  6. Step 6: Final answer
    x = 3,104,272,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.