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Finding the Third Proportional to 430,527,840 and 918,458,136

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Solution

The third proportional to 430,527,840 and 918,458,136 is: 1,959,374,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,527,840 : 918,458,136 = 918,458,136 : x
  2. Step 2: Convert to fraction form
    430,527,840/918,458,136 = 918,458,136/x
  3. Step 3: Cross multiply
    430,527,840x = 918,458,136 × 918,458,136
  4. Step 4: Simplify right side
    430,527,840x = 843,565,347,584,594,432
  5. Step 5: Solve for x
    x = 843,565,347,584,594,432/430,527,840
  6. Step 6: Final answer
    x = 1,959,374,677.34

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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.