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Finding the Third Proportional to 10,657,051.03 and 23,106,315.66

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Solution

The third proportional to 10,657,051.03 and 23,106,315.66 is: 50,098,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,051.03 : 23,106,315.66 = 23,106,315.66 : x
  2. Step 2: Convert to fraction form
    10,657,051.03/23,106,315.66 = 23,106,315.66/x
  3. Step 3: Cross multiply
    10,657,051.03x = 23,106,315.66 × 23,106,315.66
  4. Step 4: Simplify right side
    10,657,051.03x = 533,901,823,206,263.88
  5. Step 5: Solve for x
    x = 533,901,823,206,263.88/10,657,051.03
  6. Step 6: Final answer
    x = 50,098,457.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.