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Finding the Third Proportional to 432,524,151 and 895,707,126

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Solution

The third proportional to 432,524,151 and 895,707,126 is: 1,854,905,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,524,151 : 895,707,126 = 895,707,126 : x
  2. Step 2: Convert to fraction form
    432,524,151/895,707,126 = 895,707,126/x
  3. Step 3: Cross multiply
    432,524,151x = 895,707,126 × 895,707,126
  4. Step 4: Simplify right side
    432,524,151x = 802,291,255,567,179,904
  5. Step 5: Solve for x
    x = 802,291,255,567,179,904/432,524,151
  6. Step 6: Final answer
    x = 1,854,905,104.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.