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Finding the Third Proportional to 2,051,931,159.07 and 4,160,959,699.71

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Solution

The third proportional to 2,051,931,159.07 and 4,160,959,699.71 is: 8,437,702,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,931,159.07 : 4,160,959,699.71 = 4,160,959,699.71 : x
  2. Step 2: Convert to fraction form
    2,051,931,159.07/4,160,959,699.71 = 4,160,959,699.71/x
  3. Step 3: Cross multiply
    2,051,931,159.07x = 4,160,959,699.71 × 4,160,959,699.71
  4. Step 4: Simplify right side
    2,051,931,159.07x = 17,313,585,622,619,887,616
  5. Step 5: Solve for x
    x = 17,313,585,622,619,887,616/2,051,931,159.07
  6. Step 6: Final answer
    x = 8,437,702,963.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.