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Finding the Third Proportional to 1,948,740,460 and 4,547,218,215

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Solution

The third proportional to 1,948,740,460 and 4,547,218,215 is: 10,610,542,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,740,460 : 4,547,218,215 = 4,547,218,215 : x
  2. Step 2: Convert to fraction form
    1,948,740,460/4,547,218,215 = 4,547,218,215/x
  3. Step 3: Cross multiply
    1,948,740,460x = 4,547,218,215 × 4,547,218,215
  4. Step 4: Simplify right side
    1,948,740,460x = 20,677,193,494,827,786,240
  5. Step 5: Solve for x
    x = 20,677,193,494,827,786,240/1,948,740,460
  6. Step 6: Final answer
    x = 10,610,542,511.56

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.