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Finding the Third Proportional to 65,729,312 and 141,851,072

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Solution

The third proportional to 65,729,312 and 141,851,072 is: 306,130,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729,312 : 141,851,072 = 141,851,072 : x
  2. Step 2: Convert to fraction form
    65,729,312/141,851,072 = 141,851,072/x
  3. Step 3: Cross multiply
    65,729,312x = 141,851,072 × 141,851,072
  4. Step 4: Simplify right side
    65,729,312x = 20,121,726,627,549,184
  5. Step 5: Solve for x
    x = 20,121,726,627,549,184/65,729,312
  6. Step 6: Final answer
    x = 306,130,187.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.