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Finding the Third Proportional to 29,948,764 and 46,004,968

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Solution

The third proportional to 29,948,764 and 46,004,968 is: 70,669,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948,764 : 46,004,968 = 46,004,968 : x
  2. Step 2: Convert to fraction form
    29,948,764/46,004,968 = 46,004,968/x
  3. Step 3: Cross multiply
    29,948,764x = 46,004,968 × 46,004,968
  4. Step 4: Simplify right side
    29,948,764x = 2,116,457,080,681,024
  5. Step 5: Solve for x
    x = 2,116,457,080,681,024/29,948,764
  6. Step 6: Final answer
    x = 70,669,263.03

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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.