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Finding the Third Proportional to 2,123,274,171 and 4,654,695,030

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Solution

The third proportional to 2,123,274,171 and 4,654,695,030 is: 10,204,139,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,274,171 : 4,654,695,030 = 4,654,695,030 : x
  2. Step 2: Convert to fraction form
    2,123,274,171/4,654,695,030 = 4,654,695,030/x
  3. Step 3: Cross multiply
    2,123,274,171x = 4,654,695,030 × 4,654,695,030
  4. Step 4: Simplify right side
    2,123,274,171x = 21,666,185,822,306,701,312
  5. Step 5: Solve for x
    x = 21,666,185,822,306,701,312/2,123,274,171
  6. Step 6: Final answer
    x = 10,204,139,492.78

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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.