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Finding the Third Proportional to 4,094,447,834 and 8,841,328,070

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Solution

The third proportional to 4,094,447,834 and 8,841,328,070 is: 19,091,483,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094,447,834 : 8,841,328,070 = 8,841,328,070 : x
  2. Step 2: Convert to fraction form
    4,094,447,834/8,841,328,070 = 8,841,328,070/x
  3. Step 3: Cross multiply
    4,094,447,834x = 8,841,328,070 × 8,841,328,070
  4. Step 4: Simplify right side
    4,094,447,834x = 78,169,082,041,369,919,488
  5. Step 5: Solve for x
    x = 78,169,082,041,369,919,488/4,094,447,834
  6. Step 6: Final answer
    x = 19,091,483,201.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.