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Finding the Third Proportional to 10,312,324.31 and 22,683,888.84

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Solution

The third proportional to 10,312,324.31 and 22,683,888.84 is: 49,897,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312,324.31 : 22,683,888.84 = 22,683,888.84 : x
  2. Step 2: Convert to fraction form
    10,312,324.31/22,683,888.84 = 22,683,888.84/x
  3. Step 3: Cross multiply
    10,312,324.31x = 22,683,888.84 × 22,683,888.84
  4. Step 4: Simplify right side
    10,312,324.31x = 514,558,813,075,605.69
  5. Step 5: Solve for x
    x = 514,558,813,075,605.69/10,312,324.31
  6. Step 6: Final answer
    x = 49,897,462.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.