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Finding the Third Proportional to 10,316,998.69 and 21,862,969.88

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Solution

The third proportional to 10,316,998.69 and 21,862,969.88 is: 46,330,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316,998.69 : 21,862,969.88 = 21,862,969.88 : x
  2. Step 2: Convert to fraction form
    10,316,998.69/21,862,969.88 = 21,862,969.88/x
  3. Step 3: Cross multiply
    10,316,998.69x = 21,862,969.88 × 21,862,969.88
  4. Step 4: Simplify right side
    10,316,998.69x = 477,989,451,755,157.50
  5. Step 5: Solve for x
    x = 477,989,451,755,157.50/10,316,998.69
  6. Step 6: Final answer
    x = 46,330,281.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.