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Finding the Third Proportional to 449,495,001,048 and 1,060,727,748,742

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Solution

The third proportional to 449,495,001,048 and 1,060,727,748,742 is: 2,503,127,630,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,495,001,048 : 1,060,727,748,742 = 1,060,727,748,742 : x
  2. Step 2: Convert to fraction form
    449,495,001,048/1,060,727,748,742 = 1,060,727,748,742/x
  3. Step 3: Cross multiply
    449,495,001,048x = 1,060,727,748,742 × 1,060,727,748,742
  4. Step 4: Simplify right side
    449,495,001,048x = 1,125,143,356,951,271,468,695,552
  5. Step 5: Solve for x
    x = 1,125,143,356,951,271,468,695,552/449,495,001,048
  6. Step 6: Final answer
    x = 2,503,127,630,625.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.