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Finding the Third Proportional to 1,644,243,207 and 3,880,119,678

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Solution

The third proportional to 1,644,243,207 and 3,880,119,678 is: 9,156,387,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,243,207 : 3,880,119,678 = 3,880,119,678 : x
  2. Step 2: Convert to fraction form
    1,644,243,207/3,880,119,678 = 3,880,119,678/x
  3. Step 3: Cross multiply
    1,644,243,207x = 3,880,119,678 × 3,880,119,678
  4. Step 4: Simplify right side
    1,644,243,207x = 15,055,328,715,602,823,168
  5. Step 5: Solve for x
    x = 15,055,328,715,602,823,168/1,644,243,207
  6. Step 6: Final answer
    x = 9,156,387,967.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.