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Finding the Third Proportional to 2,923,258,128 and 6,898,592,442

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Solution

The third proportional to 2,923,258,128 and 6,898,592,442 is: 16,279,977,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,258,128 : 6,898,592,442 = 6,898,592,442 : x
  2. Step 2: Convert to fraction form
    2,923,258,128/6,898,592,442 = 6,898,592,442/x
  3. Step 3: Cross multiply
    2,923,258,128x = 6,898,592,442 × 6,898,592,442
  4. Step 4: Simplify right side
    2,923,258,128x = 47,590,577,680,819,519,488
  5. Step 5: Solve for x
    x = 47,590,577,680,819,519,488/2,923,258,128
  6. Step 6: Final answer
    x = 16,279,977,886.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.