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Finding the Third Proportional to 7,678,098 and 16,473,348

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Solution

The third proportional to 7,678,098 and 16,473,348 is: 35,343,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,098 : 16,473,348 = 16,473,348 : x
  2. Step 2: Convert to fraction form
    7,678,098/16,473,348 = 16,473,348/x
  3. Step 3: Cross multiply
    7,678,098x = 16,473,348 × 16,473,348
  4. Step 4: Simplify right side
    7,678,098x = 271,371,194,329,104
  5. Step 5: Solve for x
    x = 271,371,194,329,104/7,678,098
  6. Step 6: Final answer
    x = 35,343,543.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.