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Finding the Third Proportional to 229,683,427 and 504,007,776

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Solution

The third proportional to 229,683,427 and 504,007,776 is: 1,105,973,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,683,427 : 504,007,776 = 504,007,776 : x
  2. Step 2: Convert to fraction form
    229,683,427/504,007,776 = 504,007,776/x
  3. Step 3: Cross multiply
    229,683,427x = 504,007,776 × 504,007,776
  4. Step 4: Simplify right side
    229,683,427x = 254,023,838,268,466,176
  5. Step 5: Solve for x
    x = 254,023,838,268,466,176/229,683,427
  6. Step 6: Final answer
    x = 1,105,973,737.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.