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Finding the Third Proportional to 1,790,470,705 and 3,853,039,196

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Solution

The third proportional to 1,790,470,705 and 3,853,039,196 is: 8,291,624,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790,470,705 : 3,853,039,196 = 3,853,039,196 : x
  2. Step 2: Convert to fraction form
    1,790,470,705/3,853,039,196 = 3,853,039,196/x
  3. Step 3: Cross multiply
    1,790,470,705x = 3,853,039,196 × 3,853,039,196
  4. Step 4: Simplify right side
    1,790,470,705x = 14,845,911,045,912,326,144
  5. Step 5: Solve for x
    x = 14,845,911,045,912,326,144/1,790,470,705
  6. Step 6: Final answer
    x = 8,291,624,657.39

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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.