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Finding the Third Proportional to 1,969,376,536 and 3,118,457,868

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Solution

The third proportional to 1,969,376,536 and 3,118,457,868 is: 4,937,999,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,376,536 : 3,118,457,868 = 3,118,457,868 : x
  2. Step 2: Convert to fraction form
    1,969,376,536/3,118,457,868 = 3,118,457,868/x
  3. Step 3: Cross multiply
    1,969,376,536x = 3,118,457,868 × 3,118,457,868
  4. Step 4: Simplify right side
    1,969,376,536x = 9,724,779,474,491,105,280
  5. Step 5: Solve for x
    x = 9,724,779,474,491,105,280/1,969,376,536
  6. Step 6: Final answer
    x = 4,937,999,055.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.