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Finding the Third Proportional to 916,670,416 and 1,453,896,180

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Solution

The third proportional to 916,670,416 and 1,453,896,180 is: 2,305,969,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,670,416 : 1,453,896,180 = 1,453,896,180 : x
  2. Step 2: Convert to fraction form
    916,670,416/1,453,896,180 = 1,453,896,180/x
  3. Step 3: Cross multiply
    916,670,416x = 1,453,896,180 × 1,453,896,180
  4. Step 4: Simplify right side
    916,670,416x = 2,113,814,102,218,592,512
  5. Step 5: Solve for x
    x = 2,113,814,102,218,592,512/916,670,416
  6. Step 6: Final answer
    x = 2,305,969,588.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.