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Finding the Third Proportional to 36,570,830 and 53,643,878.44

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Solution

The third proportional to 36,570,830 and 53,643,878.44 is: 78,687,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,570,830 : 53,643,878.44 = 53,643,878.44 : x
  2. Step 2: Convert to fraction form
    36,570,830/53,643,878.44 = 53,643,878.44/x
  3. Step 3: Cross multiply
    36,570,830x = 53,643,878.44 × 53,643,878.44
  4. Step 4: Simplify right side
    36,570,830x = 2,877,665,693,817,277.50
  5. Step 5: Solve for x
    x = 2,877,665,693,817,277.50/36,570,830
  6. Step 6: Final answer
    x = 78,687,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.