Home / 680,345,193,666.40-1,457,732,338,653.40

Finding the Third Proportional to 680,345,193,666.40 and 1,457,732,338,653.40

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Solution

The third proportional to 680,345,193,666.40 and 1,457,732,338,653.40 is: 3,123,390,289,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,345,193,666.40 : 1,457,732,338,653.40 = 1,457,732,338,653.40 : x
  2. Step 2: Convert to fraction form
    680,345,193,666.40/1,457,732,338,653.40 = 1,457,732,338,653.40/x
  3. Step 3: Cross multiply
    680,345,193,666.40x = 1,457,732,338,653.40 × 1,457,732,338,653.40
  4. Step 4: Simplify right side
    680,345,193,666.40x = 2,124,983,571,155,910,546,948,096
  5. Step 5: Solve for x
    x = 2,124,983,571,155,910,546,948,096/680,345,193,666.40
  6. Step 6: Final answer
    x = 3,123,390,289,132.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.