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Finding the Third Proportional to 46,666,752 and 73,039,704

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Solution

The third proportional to 46,666,752 and 73,039,704 is: 114,316,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,666,752 : 73,039,704 = 73,039,704 : x
  2. Step 2: Convert to fraction form
    46,666,752/73,039,704 = 73,039,704/x
  3. Step 3: Cross multiply
    46,666,752x = 73,039,704 × 73,039,704
  4. Step 4: Simplify right side
    46,666,752x = 5,334,798,360,407,616
  5. Step 5: Solve for x
    x = 5,334,798,360,407,616/46,666,752
  6. Step 6: Final answer
    x = 114,316,898.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.