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Finding the Third Proportional to 430,527,842 and 918,458,140

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Solution

The third proportional to 430,527,842 and 918,458,140 is: 1,959,374,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,527,842 : 918,458,140 = 918,458,140 : x
  2. Step 2: Convert to fraction form
    430,527,842/918,458,140 = 918,458,140/x
  3. Step 3: Cross multiply
    430,527,842x = 918,458,140 × 918,458,140
  4. Step 4: Simplify right side
    430,527,842x = 843,565,354,932,259,584
  5. Step 5: Solve for x
    x = 843,565,354,932,259,584/430,527,842
  6. Step 6: Final answer
    x = 1,959,374,685.30

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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.