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Finding the Third Proportional to 66,477,663 and 102,117,830

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Solution

The third proportional to 66,477,663 and 102,117,830 is: 156,865,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477,663 : 102,117,830 = 102,117,830 : x
  2. Step 2: Convert to fraction form
    66,477,663/102,117,830 = 102,117,830/x
  3. Step 3: Cross multiply
    66,477,663x = 102,117,830 × 102,117,830
  4. Step 4: Simplify right side
    66,477,663x = 10,428,051,203,908,900
  5. Step 5: Solve for x
    x = 10,428,051,203,908,900/66,477,663
  6. Step 6: Final answer
    x = 156,865,490.35

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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.