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Finding the Third Proportional to 58,569,770 and 85,698,657

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Solution

The third proportional to 58,569,770 and 85,698,657 is: 125,393,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,569,770 : 85,698,657 = 85,698,657 : x
  2. Step 2: Convert to fraction form
    58,569,770/85,698,657 = 85,698,657/x
  3. Step 3: Cross multiply
    58,569,770x = 85,698,657 × 85,698,657
  4. Step 4: Simplify right side
    58,569,770x = 7,344,259,811,603,649
  5. Step 5: Solve for x
    x = 7,344,259,811,603,649/58,569,770
  6. Step 6: Final answer
    x = 125,393,352.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.