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Finding the Third Proportional to 895,753,104 and 1,402,088,166

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Solution

The third proportional to 895,753,104 and 1,402,088,166 is: 2,194,635,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,753,104 : 1,402,088,166 = 1,402,088,166 : x
  2. Step 2: Convert to fraction form
    895,753,104/1,402,088,166 = 1,402,088,166/x
  3. Step 3: Cross multiply
    895,753,104x = 1,402,088,166 × 1,402,088,166
  4. Step 4: Simplify right side
    895,753,104x = 1,965,851,225,237,243,648
  5. Step 5: Solve for x
    x = 1,965,851,225,237,243,648/895,753,104
  6. Step 6: Final answer
    x = 2,194,635,124.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.