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Finding the Third Proportional to 1,417,528,064 and 2,042,004,480

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Solution

The third proportional to 1,417,528,064 and 2,042,004,480 is: 2,941,587,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,528,064 : 2,042,004,480 = 2,042,004,480 : x
  2. Step 2: Convert to fraction form
    1,417,528,064/2,042,004,480 = 2,042,004,480/x
  3. Step 3: Cross multiply
    1,417,528,064x = 2,042,004,480 × 2,042,004,480
  4. Step 4: Simplify right side
    1,417,528,064x = 4,169,782,296,340,070,400
  5. Step 5: Solve for x
    x = 4,169,782,296,340,070,400/1,417,528,064
  6. Step 6: Final answer
    x = 2,941,587,120.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.