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Finding the Third Proportional to 10,827,440 and 24,075,640

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Solution

The third proportional to 10,827,440 and 24,075,640 is: 53,534,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,440 : 24,075,640 = 24,075,640 : x
  2. Step 2: Convert to fraction form
    10,827,440/24,075,640 = 24,075,640/x
  3. Step 3: Cross multiply
    10,827,440x = 24,075,640 × 24,075,640
  4. Step 4: Simplify right side
    10,827,440x = 579,636,441,409,600
  5. Step 5: Solve for x
    x = 579,636,441,409,600/10,827,440
  6. Step 6: Final answer
    x = 53,534,024.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.