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Finding the Third Proportional to 18,641,457,869.63 and 40,891,997,997

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Solution

The third proportional to 18,641,457,869.63 and 40,891,997,997 is: 89,700,897,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,457,869.63 : 40,891,997,997 = 40,891,997,997 : x
  2. Step 2: Convert to fraction form
    18,641,457,869.63/40,891,997,997 = 40,891,997,997/x
  3. Step 3: Cross multiply
    18,641,457,869.63x = 40,891,997,997 × 40,891,997,997
  4. Step 4: Simplify right side
    18,641,457,869.63x = 1,672,155,500,186,652,114,944
  5. Step 5: Solve for x
    x = 1,672,155,500,186,652,114,944/18,641,457,869.63
  6. Step 6: Final answer
    x = 89,700,897,423.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.