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Finding the Third Proportional to 47,942,280 and 105,656,724

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Solution

The third proportional to 47,942,280 and 105,656,724 is: 232,849,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,942,280 : 105,656,724 = 105,656,724 : x
  2. Step 2: Convert to fraction form
    47,942,280/105,656,724 = 105,656,724/x
  3. Step 3: Cross multiply
    47,942,280x = 105,656,724 × 105,656,724
  4. Step 4: Simplify right side
    47,942,280x = 11,163,343,326,412,176
  5. Step 5: Solve for x
    x = 11,163,343,326,412,176/47,942,280
  6. Step 6: Final answer
    x = 232,849,654.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.