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Finding the Third Proportional to 34,070,045 and 52,902,295.50

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Solution

The third proportional to 34,070,045 and 52,902,295.50 is: 82,144,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070,045 : 52,902,295.50 = 52,902,295.50 : x
  2. Step 2: Convert to fraction form
    34,070,045/52,902,295.50 = 52,902,295.50/x
  3. Step 3: Cross multiply
    34,070,045x = 52,902,295.50 × 52,902,295.50
  4. Step 4: Simplify right side
    34,070,045x = 2,798,652,869,169,320
  5. Step 5: Solve for x
    x = 2,798,652,869,169,320/34,070,045
  6. Step 6: Final answer
    x = 82,144,090.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.