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Finding the Third Proportional to 2,828,030,490 and 6,145,569,810

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Solution

The third proportional to 2,828,030,490 and 6,145,569,810 is: 13,354,887,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828,030,490 : 6,145,569,810 = 6,145,569,810 : x
  2. Step 2: Convert to fraction form
    2,828,030,490/6,145,569,810 = 6,145,569,810/x
  3. Step 3: Cross multiply
    2,828,030,490x = 6,145,569,810 × 6,145,569,810
  4. Step 4: Simplify right side
    2,828,030,490x = 37,768,028,289,583,439,872
  5. Step 5: Solve for x
    x = 37,768,028,289,583,439,872/2,828,030,490
  6. Step 6: Final answer
    x = 13,354,887,234.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.