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Finding the Third Proportional to 78,837,411 and 168,570,078

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Solution

The third proportional to 78,837,411 and 168,570,078 is: 360,436,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,837,411 : 168,570,078 = 168,570,078 : x
  2. Step 2: Convert to fraction form
    78,837,411/168,570,078 = 168,570,078/x
  3. Step 3: Cross multiply
    78,837,411x = 168,570,078 × 168,570,078
  4. Step 4: Simplify right side
    78,837,411x = 28,415,871,196,926,084
  5. Step 5: Solve for x
    x = 28,415,871,196,926,084/78,837,411
  6. Step 6: Final answer
    x = 360,436,382.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.