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Finding the Third Proportional to 646,609,243.50 and 1,415,632,528.13

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Solution

The third proportional to 646,609,243.50 and 1,415,632,528.13 is: 3,099,268,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,609,243.50 : 1,415,632,528.13 = 1,415,632,528.13 : x
  2. Step 2: Convert to fraction form
    646,609,243.50/1,415,632,528.13 = 1,415,632,528.13/x
  3. Step 3: Cross multiply
    646,609,243.50x = 1,415,632,528.13 × 1,415,632,528.13
  4. Step 4: Simplify right side
    646,609,243.50x = 2,004,015,454,685,579,008
  5. Step 5: Solve for x
    x = 2,004,015,454,685,579,008/646,609,243.50
  6. Step 6: Final answer
    x = 3,099,268,182.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.