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Finding the Third Proportional to 6,457,882,341 and 10,108,349,659

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Solution

The third proportional to 6,457,882,341 and 10,108,349,659 is: 15,822,328,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,882,341 : 10,108,349,659 = 10,108,349,659 : x
  2. Step 2: Convert to fraction form
    6,457,882,341/10,108,349,659 = 10,108,349,659/x
  3. Step 3: Cross multiply
    6,457,882,341x = 10,108,349,659 × 10,108,349,659
  4. Step 4: Simplify right side
    6,457,882,341x = 102,178,732,828,605,415,424
  5. Step 5: Solve for x
    x = 102,178,732,828,605,415,424/6,457,882,341
  6. Step 6: Final answer
    x = 15,822,328,037.77

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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.