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Finding the Third Proportional to 830,443,212 and 1,167,962,814

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Solution

The third proportional to 830,443,212 and 1,167,962,814 is: 1,642,661,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,443,212 : 1,167,962,814 = 1,167,962,814 : x
  2. Step 2: Convert to fraction form
    830,443,212/1,167,962,814 = 1,167,962,814/x
  3. Step 3: Cross multiply
    830,443,212x = 1,167,962,814 × 1,167,962,814
  4. Step 4: Simplify right side
    830,443,212x = 1,364,137,134,886,798,592
  5. Step 5: Solve for x
    x = 1,364,137,134,886,798,592/830,443,212
  6. Step 6: Final answer
    x = 1,642,661,551.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.