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Finding the Third Proportional to 430,454,850,408.69 and 924,790,586,275.53

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Solution

The third proportional to 430,454,850,408.69 and 924,790,586,275.53 is: 1,986,823,072,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,454,850,408.69 : 924,790,586,275.53 = 924,790,586,275.53 : x
  2. Step 2: Convert to fraction form
    430,454,850,408.69/924,790,586,275.53 = 924,790,586,275.53/x
  3. Step 3: Cross multiply
    430,454,850,408.69x = 924,790,586,275.53 × 924,790,586,275.53
  4. Step 4: Simplify right side
    430,454,850,408.69x = 855,237,628,463,838,501,273,600
  5. Step 5: Solve for x
    x = 855,237,628,463,838,501,273,600/430,454,850,408.69
  6. Step 6: Final answer
    x = 1,986,823,072,505.38

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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.