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Finding the Third Proportional to 16,353,589,306 and 35,498,209,154

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Solution

The third proportional to 16,353,589,306 and 35,498,209,154 is: 77,054,818,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353,589,306 : 35,498,209,154 = 35,498,209,154 : x
  2. Step 2: Convert to fraction form
    16,353,589,306/35,498,209,154 = 35,498,209,154/x
  3. Step 3: Cross multiply
    16,353,589,306x = 35,498,209,154 × 35,498,209,154
  4. Step 4: Simplify right side
    16,353,589,306x = 1,260,122,853,141,129,461,760
  5. Step 5: Solve for x
    x = 1,260,122,853,141,129,461,760/16,353,589,306
  6. Step 6: Final answer
    x = 77,054,818,337.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.