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Finding the Third Proportional to 466,264,885.50 and 1,020,134,497.50

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Solution

The third proportional to 466,264,885.50 and 1,020,134,497.50 is: 2,231,938,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,264,885.50 : 1,020,134,497.50 = 1,020,134,497.50 : x
  2. Step 2: Convert to fraction form
    466,264,885.50/1,020,134,497.50 = 1,020,134,497.50/x
  3. Step 3: Cross multiply
    466,264,885.50x = 1,020,134,497.50 × 1,020,134,497.50
  4. Step 4: Simplify right side
    466,264,885.50x = 1,040,674,392,989,577,472
  5. Step 5: Solve for x
    x = 1,040,674,392,989,577,472/466,264,885.50
  6. Step 6: Final answer
    x = 2,231,938,165.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.