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Finding the Third Proportional to 2,136,871,192 and 4,641,592,623

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Solution

The third proportional to 2,136,871,192 and 4,641,592,623 is: 10,082,209,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136,871,192 : 4,641,592,623 = 4,641,592,623 : x
  2. Step 2: Convert to fraction form
    2,136,871,192/4,641,592,623 = 4,641,592,623/x
  3. Step 3: Cross multiply
    2,136,871,192x = 4,641,592,623 × 4,641,592,623
  4. Step 4: Simplify right side
    2,136,871,192x = 21,544,382,077,888,020,480
  5. Step 5: Solve for x
    x = 21,544,382,077,888,020,480/2,136,871,192
  6. Step 6: Final answer
    x = 10,082,209,053.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.