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Finding the Third Proportional to 2,266,425,486.40 and 4,877,224,740.81

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Solution

The third proportional to 2,266,425,486.40 and 4,877,224,740.81 is: 10,495,523,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,425,486.40 : 4,877,224,740.81 = 4,877,224,740.81 : x
  2. Step 2: Convert to fraction form
    2,266,425,486.40/4,877,224,740.81 = 4,877,224,740.81/x
  3. Step 3: Cross multiply
    2,266,425,486.40x = 4,877,224,740.81 × 4,877,224,740.81
  4. Step 4: Simplify right side
    2,266,425,486.40x = 23,787,321,172,351,610,880
  5. Step 5: Solve for x
    x = 23,787,321,172,351,610,880/2,266,425,486.40
  6. Step 6: Final answer
    x = 10,495,523,155.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.