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Finding the Third Proportional to 16,465,359,564 and 22,215,635,840

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Solution

The third proportional to 16,465,359,564 and 22,215,635,840 is: 29,974,108,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465,359,564 : 22,215,635,840 = 22,215,635,840 : x
  2. Step 2: Convert to fraction form
    16,465,359,564/22,215,635,840 = 22,215,635,840/x
  3. Step 3: Cross multiply
    16,465,359,564x = 22,215,635,840 × 22,215,635,840
  4. Step 4: Simplify right side
    16,465,359,564x = 493,534,475,775,492,489,216
  5. Step 5: Solve for x
    x = 493,534,475,775,492,489,216/16,465,359,564
  6. Step 6: Final answer
    x = 29,974,108,604.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.