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Finding the Third Proportional to 747,928,909,707 and 1,516,669,814,970

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Solution

The third proportional to 747,928,909,707 and 1,516,669,814,970 is: 3,075,542,739,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,928,909,707 : 1,516,669,814,970 = 1,516,669,814,970 : x
  2. Step 2: Convert to fraction form
    747,928,909,707/1,516,669,814,970 = 1,516,669,814,970/x
  3. Step 3: Cross multiply
    747,928,909,707x = 1,516,669,814,970 × 1,516,669,814,970
  4. Step 4: Simplify right side
    747,928,909,707x = 2,300,287,327,641,134,058,962,944
  5. Step 5: Solve for x
    x = 2,300,287,327,641,134,058,962,944/747,928,909,707
  6. Step 6: Final answer
    x = 3,075,542,739,138.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.