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Finding the Third Proportional to 46,559,731.50 and 70,483,729.50

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Solution

The third proportional to 46,559,731.50 and 70,483,729.50 is: 106,700,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,559,731.50 : 70,483,729.50 = 70,483,729.50 : x
  2. Step 2: Convert to fraction form
    46,559,731.50/70,483,729.50 = 70,483,729.50/x
  3. Step 3: Cross multiply
    46,559,731.50x = 70,483,729.50 × 70,483,729.50
  4. Step 4: Simplify right side
    46,559,731.50x = 4,967,956,124,229,170
  5. Step 5: Solve for x
    x = 4,967,956,124,229,170/46,559,731.50
  6. Step 6: Final answer
    x = 106,700,703.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.