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Finding the Third Proportional to 432,493,032 and 895,646,184

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Solution

The third proportional to 432,493,032 and 895,646,184 is: 1,854,786,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493,032 : 895,646,184 = 895,646,184 : x
  2. Step 2: Convert to fraction form
    432,493,032/895,646,184 = 895,646,184/x
  3. Step 3: Cross multiply
    432,493,032x = 895,646,184 × 895,646,184
  4. Step 4: Simplify right side
    432,493,032x = 802,182,086,913,761,792
  5. Step 5: Solve for x
    x = 802,182,086,913,761,792/432,493,032
  6. Step 6: Final answer
    x = 1,854,786,152.75

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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.