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Finding the Third Proportional to 6,457,882,330 and 10,108,349,642

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Solution

The third proportional to 6,457,882,330 and 10,108,349,642 is: 15,822,328,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,882,330 : 10,108,349,642 = 10,108,349,642 : x
  2. Step 2: Convert to fraction form
    6,457,882,330/10,108,349,642 = 10,108,349,642/x
  3. Step 3: Cross multiply
    6,457,882,330x = 10,108,349,642 × 10,108,349,642
  4. Step 4: Simplify right side
    6,457,882,330x = 102,178,732,484,921,524,224
  5. Step 5: Solve for x
    x = 102,178,732,484,921,524,224/6,457,882,330
  6. Step 6: Final answer
    x = 15,822,328,011.50

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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.