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Finding the Third Proportional to 66,477,669 and 102,117,840

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Solution

The third proportional to 66,477,669 and 102,117,840 is: 156,865,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477,669 : 102,117,840 = 102,117,840 : x
  2. Step 2: Convert to fraction form
    66,477,669/102,117,840 = 102,117,840/x
  3. Step 3: Cross multiply
    66,477,669x = 102,117,840 × 102,117,840
  4. Step 4: Simplify right side
    66,477,669x = 10,428,053,246,265,600
  5. Step 5: Solve for x
    x = 10,428,053,246,265,600/66,477,669
  6. Step 6: Final answer
    x = 156,865,506.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.