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Finding the Third Proportional to 1,009,630,712 and 1,550,916,390

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Solution

The third proportional to 1,009,630,712 and 1,550,916,390 is: 2,382,397,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,630,712 : 1,550,916,390 = 1,550,916,390 : x
  2. Step 2: Convert to fraction form
    1,009,630,712/1,550,916,390 = 1,550,916,390/x
  3. Step 3: Cross multiply
    1,009,630,712x = 1,550,916,390 × 1,550,916,390
  4. Step 4: Simplify right side
    1,009,630,712x = 2,405,341,648,770,632,192
  5. Step 5: Solve for x
    x = 2,405,341,648,770,632,192/1,009,630,712
  6. Step 6: Final answer
    x = 2,382,397,464.92

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