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Finding the Third Proportional to 1,732,661,862 and 3,782,830,106

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Solution

The third proportional to 1,732,661,862 and 3,782,830,106 is: 8,258,855,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,661,862 : 3,782,830,106 = 3,782,830,106 : x
  2. Step 2: Convert to fraction form
    1,732,661,862/3,782,830,106 = 3,782,830,106/x
  3. Step 3: Cross multiply
    1,732,661,862x = 3,782,830,106 × 3,782,830,106
  4. Step 4: Simplify right side
    1,732,661,862x = 14,309,803,610,859,970,560
  5. Step 5: Solve for x
    x = 14,309,803,610,859,970,560/1,732,661,862
  6. Step 6: Final answer
    x = 8,258,855,305.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.