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Finding the Third Proportional to 26,228,814,020 and 40,290,666,564

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Solution

The third proportional to 26,228,814,020 and 40,290,666,564 is: 61,891,392,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228,814,020 : 40,290,666,564 = 40,290,666,564 : x
  2. Step 2: Convert to fraction form
    26,228,814,020/40,290,666,564 = 40,290,666,564/x
  3. Step 3: Cross multiply
    26,228,814,020x = 40,290,666,564 × 40,290,666,564
  4. Step 4: Simplify right side
    26,228,814,020x = 1,623,337,812,171,427,676,160
  5. Step 5: Solve for x
    x = 1,623,337,812,171,427,676,160/26,228,814,020
  6. Step 6: Final answer
    x = 61,891,392,074.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.