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Finding the Third Proportional to 614,835,026 and 1,338,836,648

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Solution

The third proportional to 614,835,026 and 1,338,836,648 is: 2,915,389,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,835,026 : 1,338,836,648 = 1,338,836,648 : x
  2. Step 2: Convert to fraction form
    614,835,026/1,338,836,648 = 1,338,836,648/x
  3. Step 3: Cross multiply
    614,835,026x = 1,338,836,648 × 1,338,836,648
  4. Step 4: Simplify right side
    614,835,026x = 1,792,483,570,027,875,840
  5. Step 5: Solve for x
    x = 1,792,483,570,027,875,840/614,835,026
  6. Step 6: Final answer
    x = 2,915,389,485.35

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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.