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Finding the Third Proportional to 5,249,664 and 8,098,360

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Solution

The third proportional to 5,249,664 and 8,098,360 is: 12,492,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249,664 : 8,098,360 = 8,098,360 : x
  2. Step 2: Convert to fraction form
    5,249,664/8,098,360 = 8,098,360/x
  3. Step 3: Cross multiply
    5,249,664x = 8,098,360 × 8,098,360
  4. Step 4: Simplify right side
    5,249,664x = 65,583,434,689,600
  5. Step 5: Solve for x
    x = 65,583,434,689,600/5,249,664
  6. Step 6: Final answer
    x = 12,492,882.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.