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Finding the Third Proportional to 830,443,216 and 1,167,962,820

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Solution

The third proportional to 830,443,216 and 1,167,962,820 is: 1,642,661,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,443,216 : 1,167,962,820 = 1,167,962,820 : x
  2. Step 2: Convert to fraction form
    830,443,216/1,167,962,820 = 1,167,962,820/x
  3. Step 3: Cross multiply
    830,443,216x = 1,167,962,820 × 1,167,962,820
  4. Step 4: Simplify right side
    830,443,216x = 1,364,137,148,902,352,384
  5. Step 5: Solve for x
    x = 1,364,137,148,902,352,384/830,443,216
  6. Step 6: Final answer
    x = 1,642,661,560.26

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