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Finding the Third Proportional to 1,907,459,038.13 and 2,576,336,158.13

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Solution

The third proportional to 1,907,459,038.13 and 2,576,336,158.13 is: 3,479,764,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,459,038.13 : 2,576,336,158.13 = 2,576,336,158.13 : x
  2. Step 2: Convert to fraction form
    1,907,459,038.13/2,576,336,158.13 = 2,576,336,158.13/x
  3. Step 3: Cross multiply
    1,907,459,038.13x = 2,576,336,158.13 × 2,576,336,158.13
  4. Step 4: Simplify right side
    1,907,459,038.13x = 6,637,507,999,662,284,800
  5. Step 5: Solve for x
    x = 6,637,507,999,662,284,800/1,907,459,038.13
  6. Step 6: Final answer
    x = 3,479,764,370.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.