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Finding the Third Proportional to 430,454,850,684 and 924,790,586,877

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Solution

The third proportional to 430,454,850,684 and 924,790,586,877 is: 1,986,823,073,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,454,850,684 : 924,790,586,877 = 924,790,586,877 : x
  2. Step 2: Convert to fraction form
    430,454,850,684/924,790,586,877 = 924,790,586,877/x
  3. Step 3: Cross multiply
    430,454,850,684x = 924,790,586,877 × 924,790,586,877
  4. Step 4: Simplify right side
    430,454,850,684x = 855,237,629,576,306,032,115,712
  5. Step 5: Solve for x
    x = 855,237,629,576,306,032,115,712/430,454,850,684
  6. Step 6: Final answer
    x = 1,986,823,073,819.05

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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.