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Finding the Third Proportional to 976,401,094.50 and 1,473,681,519

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Solution

The third proportional to 976,401,094.50 and 1,473,681,519 is: 2,224,226,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,401,094.50 : 1,473,681,519 = 1,473,681,519 : x
  2. Step 2: Convert to fraction form
    976,401,094.50/1,473,681,519 = 1,473,681,519/x
  3. Step 3: Cross multiply
    976,401,094.50x = 1,473,681,519 × 1,473,681,519
  4. Step 4: Simplify right side
    976,401,094.50x = 2,171,737,219,442,147,328
  5. Step 5: Solve for x
    x = 2,171,737,219,442,147,328/976,401,094.50
  6. Step 6: Final answer
    x = 2,224,226,531.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.