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Finding the Third Proportional to 430,454,850,408.70 and 924,790,586,275.54

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Solution

The third proportional to 430,454,850,408.70 and 924,790,586,275.54 is: 1,986,823,072,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,454,850,408.70 : 924,790,586,275.54 = 924,790,586,275.54 : x
  2. Step 2: Convert to fraction form
    430,454,850,408.70/924,790,586,275.54 = 924,790,586,275.54/x
  3. Step 3: Cross multiply
    430,454,850,408.70x = 924,790,586,275.54 × 924,790,586,275.54
  4. Step 4: Simplify right side
    430,454,850,408.70x = 855,237,628,463,857,023,320,064
  5. Step 5: Solve for x
    x = 855,237,628,463,857,023,320,064/430,454,850,408.70
  6. Step 6: Final answer
    x = 1,986,823,072,505.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.