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Finding the Third Proportional to 10,483,324 and 15,376,510.50

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Solution

The third proportional to 10,483,324 and 15,376,510.50 is: 22,553,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,324 : 15,376,510.50 = 15,376,510.50 : x
  2. Step 2: Convert to fraction form
    10,483,324/15,376,510.50 = 15,376,510.50/x
  3. Step 3: Cross multiply
    10,483,324x = 15,376,510.50 × 15,376,510.50
  4. Step 4: Simplify right side
    10,483,324x = 236,437,075,156,610.25
  5. Step 5: Solve for x
    x = 236,437,075,156,610.25/10,483,324
  6. Step 6: Final answer
    x = 22,553,636.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.