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Finding the Third Proportional to 1,905,316,308 and 4,086,312,876

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Solution

The third proportional to 1,905,316,308 and 4,086,312,876 is: 8,763,874,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,316,308 : 4,086,312,876 = 4,086,312,876 : x
  2. Step 2: Convert to fraction form
    1,905,316,308/4,086,312,876 = 4,086,312,876/x
  3. Step 3: Cross multiply
    1,905,316,308x = 4,086,312,876 × 4,086,312,876
  4. Step 4: Simplify right side
    1,905,316,308x = 16,697,952,920,563,390,464
  5. Step 5: Solve for x
    x = 16,697,952,920,563,390,464/1,905,316,308
  6. Step 6: Final answer
    x = 8,763,874,455.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.