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Finding the Third Proportional to 43,710,963 and 64,149,268.50

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Solution

The third proportional to 43,710,963 and 64,149,268.50 is: 94,144,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,710,963 : 64,149,268.50 = 64,149,268.50 : x
  2. Step 2: Convert to fraction form
    43,710,963/64,149,268.50 = 64,149,268.50/x
  3. Step 3: Cross multiply
    43,710,963x = 64,149,268.50 × 64,149,268.50
  4. Step 4: Simplify right side
    43,710,963x = 4,115,128,649,085,092
  5. Step 5: Solve for x
    x = 4,115,128,649,085,092/43,710,963
  6. Step 6: Final answer
    x = 94,144,085.75

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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.