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Finding the Third Proportional to 30,085,830 and 45,833,984

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Solution

The third proportional to 30,085,830 and 45,833,984 is: 69,825,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085,830 : 45,833,984 = 45,833,984 : x
  2. Step 2: Convert to fraction form
    30,085,830/45,833,984 = 45,833,984/x
  3. Step 3: Cross multiply
    30,085,830x = 45,833,984 × 45,833,984
  4. Step 4: Simplify right side
    30,085,830x = 2,100,754,089,312,256
  5. Step 5: Solve for x
    x = 2,100,754,089,312,256/30,085,830
  6. Step 6: Final answer
    x = 69,825,365.94

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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.