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Finding the Third Proportional to 534,106,980 and 1,138,762,200

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Solution

The third proportional to 534,106,980 and 1,138,762,200 is: 2,427,939,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,106,980 : 1,138,762,200 = 1,138,762,200 : x
  2. Step 2: Convert to fraction form
    534,106,980/1,138,762,200 = 1,138,762,200/x
  3. Step 3: Cross multiply
    534,106,980x = 1,138,762,200 × 1,138,762,200
  4. Step 4: Simplify right side
    534,106,980x = 1,296,779,348,148,839,936
  5. Step 5: Solve for x
    x = 1,296,779,348,148,839,936/534,106,980
  6. Step 6: Final answer
    x = 2,427,939,339.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.