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Finding the Third Proportional to 1,009,630,712 and 1,550,916,408

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Solution

The third proportional to 1,009,630,712 and 1,550,916,408 is: 2,382,397,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,630,712 : 1,550,916,408 = 1,550,916,408 : x
  2. Step 2: Convert to fraction form
    1,009,630,712/1,550,916,408 = 1,550,916,408/x
  3. Step 3: Cross multiply
    1,009,630,712x = 1,550,916,408 × 1,550,916,408
  4. Step 4: Simplify right side
    1,009,630,712x = 2,405,341,704,603,622,400
  5. Step 5: Solve for x
    x = 2,405,341,704,603,622,400/1,009,630,712
  6. Step 6: Final answer
    x = 2,382,397,520.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.