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Finding the Third Proportional to 19,648,223,150 and 42,739,018,150

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Solution

The third proportional to 19,648,223,150 and 42,739,018,150 is: 92,966,354,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648,223,150 : 42,739,018,150 = 42,739,018,150 : x
  2. Step 2: Convert to fraction form
    19,648,223,150/42,739,018,150 = 42,739,018,150/x
  3. Step 3: Cross multiply
    19,648,223,150x = 42,739,018,150 × 42,739,018,150
  4. Step 4: Simplify right side
    19,648,223,150x = 1,826,623,672,426,029,383,680
  5. Step 5: Solve for x
    x = 1,826,623,672,426,029,383,680/19,648,223,150
  6. Step 6: Final answer
    x = 92,966,354,182.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.