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Finding the Third Proportional to 2,520,412,681 and 3,641,247,572

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Solution

The third proportional to 2,520,412,681 and 3,641,247,572 is: 5,260,521,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520,412,681 : 3,641,247,572 = 3,641,247,572 : x
  2. Step 2: Convert to fraction form
    2,520,412,681/3,641,247,572 = 3,641,247,572/x
  3. Step 3: Cross multiply
    2,520,412,681x = 3,641,247,572 × 3,641,247,572
  4. Step 4: Simplify right side
    2,520,412,681x = 13,258,683,880,595,894,272
  5. Step 5: Solve for x
    x = 13,258,683,880,595,894,272/2,520,412,681
  6. Step 6: Final answer
    x = 5,260,521,017.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.