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Finding the Third Proportional to 10,827,445 and 24,075,648

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Solution

The third proportional to 10,827,445 and 24,075,648 is: 53,534,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,445 : 24,075,648 = 24,075,648 : x
  2. Step 2: Convert to fraction form
    10,827,445/24,075,648 = 24,075,648/x
  3. Step 3: Cross multiply
    10,827,445x = 24,075,648 × 24,075,648
  4. Step 4: Simplify right side
    10,827,445x = 579,636,826,619,904
  5. Step 5: Solve for x
    x = 579,636,826,619,904/10,827,445
  6. Step 6: Final answer
    x = 53,534,035.65

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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.