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Finding the Third Proportional to 66,477,664 and 102,117,829

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Solution

The third proportional to 66,477,664 and 102,117,829 is: 156,865,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477,664 : 102,117,829 = 102,117,829 : x
  2. Step 2: Convert to fraction form
    66,477,664/102,117,829 = 102,117,829/x
  3. Step 3: Cross multiply
    66,477,664x = 102,117,829 × 102,117,829
  4. Step 4: Simplify right side
    66,477,664x = 10,428,050,999,673,240
  5. Step 5: Solve for x
    x = 10,428,050,999,673,240/66,477,664
  6. Step 6: Final answer
    x = 156,865,484.92

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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.