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Finding the Third Proportional to 6,457,882,444 and 10,108,349,814

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Solution

The third proportional to 6,457,882,444 and 10,108,349,814 is: 15,822,328,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,882,444 : 10,108,349,814 = 10,108,349,814 : x
  2. Step 2: Convert to fraction form
    6,457,882,444/10,108,349,814 = 10,108,349,814/x
  3. Step 3: Cross multiply
    6,457,882,444x = 10,108,349,814 × 10,108,349,814
  4. Step 4: Simplify right side
    6,457,882,444x = 102,178,735,962,193,838,080
  5. Step 5: Solve for x
    x = 102,178,735,962,193,838,080/6,457,882,444
  6. Step 6: Final answer
    x = 15,822,328,270.64

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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.