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Finding the Third Proportional to 1,869,500,114.50 and 4,037,495,629

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Solution

The third proportional to 1,869,500,114.50 and 4,037,495,629 is: 8,719,641,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,500,114.50 : 4,037,495,629 = 4,037,495,629 : x
  2. Step 2: Convert to fraction form
    1,869,500,114.50/4,037,495,629 = 4,037,495,629/x
  3. Step 3: Cross multiply
    1,869,500,114.50x = 4,037,495,629 × 4,037,495,629
  4. Step 4: Simplify right side
    1,869,500,114.50x = 16,301,370,954,194,106,368
  5. Step 5: Solve for x
    x = 16,301,370,954,194,106,368/1,869,500,114.50
  6. Step 6: Final answer
    x = 8,719,641,591.76

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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.