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Finding the Third Proportional to 65,240,054 and 103,645,809

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Solution

The third proportional to 65,240,054 and 103,645,809 is: 164,660,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,054 : 103,645,809 = 103,645,809 : x
  2. Step 2: Convert to fraction form
    65,240,054/103,645,809 = 103,645,809/x
  3. Step 3: Cross multiply
    65,240,054x = 103,645,809 × 103,645,809
  4. Step 4: Simplify right side
    65,240,054x = 10,742,453,723,264,480
  5. Step 5: Solve for x
    x = 10,742,453,723,264,480/65,240,054
  6. Step 6: Final answer
    x = 164,660,405.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.