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Finding the Third Proportional to 3,287,123,174 and 7,039,689,111

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Solution

The third proportional to 3,287,123,174 and 7,039,689,111 is: 15,076,168,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,123,174 : 7,039,689,111 = 7,039,689,111 : x
  2. Step 2: Convert to fraction form
    3,287,123,174/7,039,689,111 = 7,039,689,111/x
  3. Step 3: Cross multiply
    3,287,123,174x = 7,039,689,111 × 7,039,689,111
  4. Step 4: Simplify right side
    3,287,123,174x = 49,557,222,779,531,968,512
  5. Step 5: Solve for x
    x = 49,557,222,779,531,968,512/3,287,123,174
  6. Step 6: Final answer
    x = 15,076,168,478.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.