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Finding the Third Proportional to 30,083,718 and 45,830,604

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Solution

The third proportional to 30,083,718 and 45,830,604 is: 69,819,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083,718 : 45,830,604 = 45,830,604 : x
  2. Step 2: Convert to fraction form
    30,083,718/45,830,604 = 45,830,604/x
  3. Step 3: Cross multiply
    30,083,718x = 45,830,604 × 45,830,604
  4. Step 4: Simplify right side
    30,083,718x = 2,100,444,263,004,816
  5. Step 5: Solve for x
    x = 2,100,444,263,004,816/30,083,718
  6. Step 6: Final answer
    x = 69,819,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.