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Finding the Third Proportional to 744,025,857 and 1,225,117,045.50

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Solution

The third proportional to 744,025,857 and 1,225,117,045.50 is: 2,017,284,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,025,857 : 1,225,117,045.50 = 1,225,117,045.50 : x
  2. Step 2: Convert to fraction form
    744,025,857/1,225,117,045.50 = 1,225,117,045.50/x
  3. Step 3: Cross multiply
    744,025,857x = 1,225,117,045.50 × 1,225,117,045.50
  4. Step 4: Simplify right side
    744,025,857x = 1,500,911,775,174,649,088
  5. Step 5: Solve for x
    x = 1,500,911,775,174,649,088/744,025,857
  6. Step 6: Final answer
    x = 2,017,284,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.