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Finding the Third Proportional to 21,874,642 and 47,873,140

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Solution

The third proportional to 21,874,642 and 47,873,140 is: 104,771,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874,642 : 47,873,140 = 47,873,140 : x
  2. Step 2: Convert to fraction form
    21,874,642/47,873,140 = 47,873,140/x
  3. Step 3: Cross multiply
    21,874,642x = 47,873,140 × 47,873,140
  4. Step 4: Simplify right side
    21,874,642x = 2,291,837,533,459,600
  5. Step 5: Solve for x
    x = 2,291,837,533,459,600/21,874,642
  6. Step 6: Final answer
    x = 104,771,430.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.