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Finding the Third Proportional to 3,162,767,430 and 4,627,727,106

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Solution

The third proportional to 3,162,767,430 and 4,627,727,106 is: 6,771,240,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162,767,430 : 4,627,727,106 = 4,627,727,106 : x
  2. Step 2: Convert to fraction form
    3,162,767,430/4,627,727,106 = 4,627,727,106/x
  3. Step 3: Cross multiply
    3,162,767,430x = 4,627,727,106 × 4,627,727,106
  4. Step 4: Simplify right side
    3,162,767,430x = 21,415,858,167,607,136,256
  5. Step 5: Solve for x
    x = 21,415,858,167,607,136,256/3,162,767,430
  6. Step 6: Final answer
    x = 6,771,240,263.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.