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Finding the Third Proportional to 3,045,701,240 and 4,109,366,064

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Solution

The third proportional to 3,045,701,240 and 4,109,366,064 is: 5,544,499,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045,701,240 : 4,109,366,064 = 4,109,366,064 : x
  2. Step 2: Convert to fraction form
    3,045,701,240/4,109,366,064 = 4,109,366,064/x
  3. Step 3: Cross multiply
    3,045,701,240x = 4,109,366,064 × 4,109,366,064
  4. Step 4: Simplify right side
    3,045,701,240x = 16,886,889,447,954,851,840
  5. Step 5: Solve for x
    x = 16,886,889,447,954,851,840/3,045,701,240
  6. Step 6: Final answer
    x = 5,544,499,646.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.