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Finding the Third Proportional to 1,700,523,116 and 3,661,853,272

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Solution

The third proportional to 1,700,523,116 and 3,661,853,272 is: 7,885,320,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,523,116 : 3,661,853,272 = 3,661,853,272 : x
  2. Step 2: Convert to fraction form
    1,700,523,116/3,661,853,272 = 3,661,853,272/x
  3. Step 3: Cross multiply
    1,700,523,116x = 3,661,853,272 × 3,661,853,272
  4. Step 4: Simplify right side
    1,700,523,116x = 13,409,169,385,657,106,432
  5. Step 5: Solve for x
    x = 13,409,169,385,657,106,432/1,700,523,116
  6. Step 6: Final answer
    x = 7,885,320,263.80

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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.