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Finding the Third Proportional to 883,382,024 and 1,913,985,804

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Solution

The third proportional to 883,382,024 and 1,913,985,804 is: 4,146,950,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,382,024 : 1,913,985,804 = 1,913,985,804 : x
  2. Step 2: Convert to fraction form
    883,382,024/1,913,985,804 = 1,913,985,804/x
  3. Step 3: Cross multiply
    883,382,024x = 1,913,985,804 × 1,913,985,804
  4. Step 4: Simplify right side
    883,382,024x = 3,663,341,657,913,526,272
  5. Step 5: Solve for x
    x = 3,663,341,657,913,526,272/883,382,024
  6. Step 6: Final answer
    x = 4,146,950,649.19

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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.