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Finding the Third Proportional to 3,009,001,014 and 4,559,006,673

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Solution

The third proportional to 3,009,001,014 and 4,559,006,673 is: 6,907,455,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,001,014 : 4,559,006,673 = 4,559,006,673 : x
  2. Step 2: Convert to fraction form
    3,009,001,014/4,559,006,673 = 4,559,006,673/x
  3. Step 3: Cross multiply
    3,009,001,014x = 4,559,006,673 × 4,559,006,673
  4. Step 4: Simplify right side
    3,009,001,014x = 20,784,541,844,458,528,768
  5. Step 5: Solve for x
    x = 20,784,541,844,458,528,768/3,009,001,014
  6. Step 6: Final answer
    x = 6,907,455,912.36

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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.