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Finding the Third Proportional to 1,732,661,862 and 3,782,830,106.25

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Solution

The third proportional to 1,732,661,862 and 3,782,830,106.25 is: 8,258,855,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,661,862 : 3,782,830,106.25 = 3,782,830,106.25 : x
  2. Step 2: Convert to fraction form
    1,732,661,862/3,782,830,106.25 = 3,782,830,106.25/x
  3. Step 3: Cross multiply
    1,732,661,862x = 3,782,830,106.25 × 3,782,830,106.25
  4. Step 4: Simplify right side
    1,732,661,862x = 14,309,803,612,751,386,624
  5. Step 5: Solve for x
    x = 14,309,803,612,751,386,624/1,732,661,862
  6. Step 6: Final answer
    x = 8,258,855,306.16

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