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Finding the Third Proportional to 2,224,273,090 and 4,793,010,020

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Solution

The third proportional to 2,224,273,090 and 4,793,010,020 is: 10,328,293,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,273,090 : 4,793,010,020 = 4,793,010,020 : x
  2. Step 2: Convert to fraction form
    2,224,273,090/4,793,010,020 = 4,793,010,020/x
  3. Step 3: Cross multiply
    2,224,273,090x = 4,793,010,020 × 4,793,010,020
  4. Step 4: Simplify right side
    2,224,273,090x = 22,972,945,051,820,400,640
  5. Step 5: Solve for x
    x = 22,972,945,051,820,400,640/2,224,273,090
  6. Step 6: Final answer
    x = 10,328,293,389.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.