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Finding the Third Proportional to 6,457,882,330.50 and 10,108,349,640

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Solution

The third proportional to 6,457,882,330.50 and 10,108,349,640 is: 15,822,328,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,882,330.50 : 10,108,349,640 = 10,108,349,640 : x
  2. Step 2: Convert to fraction form
    6,457,882,330.50/10,108,349,640 = 10,108,349,640/x
  3. Step 3: Cross multiply
    6,457,882,330.50x = 10,108,349,640 × 10,108,349,640
  4. Step 4: Simplify right side
    6,457,882,330.50x = 102,178,732,444,488,122,368
  5. Step 5: Solve for x
    x = 102,178,732,444,488,122,368/6,457,882,330.50
  6. Step 6: Final answer
    x = 15,822,328,004.01

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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.