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Finding the Third Proportional to 2,905,122,398 and 6,214,139,954

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Solution

The third proportional to 2,905,122,398 and 6,214,139,954 is: 13,292,223,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905,122,398 : 6,214,139,954 = 6,214,139,954 : x
  2. Step 2: Convert to fraction form
    2,905,122,398/6,214,139,954 = 6,214,139,954/x
  3. Step 3: Cross multiply
    2,905,122,398x = 6,214,139,954 × 6,214,139,954
  4. Step 4: Simplify right side
    2,905,122,398x = 38,615,535,367,899,119,616
  5. Step 5: Solve for x
    x = 38,615,535,367,899,119,616/2,905,122,398
  6. Step 6: Final answer
    x = 13,292,223,210.45

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Why These Related Problems?

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