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Finding the Third Proportional to 3,102,592,038 and 4,939,223,766

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Solution

The third proportional to 3,102,592,038 and 4,939,223,766 is: 7,863,080,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,592,038 : 4,939,223,766 = 4,939,223,766 : x
  2. Step 2: Convert to fraction form
    3,102,592,038/4,939,223,766 = 4,939,223,766/x
  3. Step 3: Cross multiply
    3,102,592,038x = 4,939,223,766 × 4,939,223,766
  4. Step 4: Simplify right side
    3,102,592,038x = 24,395,931,410,619,224,064
  5. Step 5: Solve for x
    x = 24,395,931,410,619,224,064/3,102,592,038
  6. Step 6: Final answer
    x = 7,863,080,647.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.