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Finding the Third Proportional to 39,549,864 and 86,640,324

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Solution

The third proportional to 39,549,864 and 86,640,324 is: 189,799,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,549,864 : 86,640,324 = 86,640,324 : x
  2. Step 2: Convert to fraction form
    39,549,864/86,640,324 = 86,640,324/x
  3. Step 3: Cross multiply
    39,549,864x = 86,640,324 × 86,640,324
  4. Step 4: Simplify right side
    39,549,864x = 7,506,545,742,824,976
  5. Step 5: Solve for x
    x = 7,506,545,742,824,976/39,549,864
  6. Step 6: Final answer
    x = 189,799,533.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.