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Finding the Third Proportional to 1,699,549,236 and 3,657,379,284

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Solution

The third proportional to 1,699,549,236 and 3,657,379,284 is: 7,870,571,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,549,236 : 3,657,379,284 = 3,657,379,284 : x
  2. Step 2: Convert to fraction form
    1,699,549,236/3,657,379,284 = 3,657,379,284/x
  3. Step 3: Cross multiply
    1,699,549,236x = 3,657,379,284 × 3,657,379,284
  4. Step 4: Simplify right side
    1,699,549,236x = 13,376,423,227,032,352,768
  5. Step 5: Solve for x
    x = 13,376,423,227,032,352,768/1,699,549,236
  6. Step 6: Final answer
    x = 7,870,571,174.81

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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.