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Finding the Third Proportional to 130,787,854 and 280,353,664

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Solution

The third proportional to 130,787,854 and 280,353,664 is: 600,959,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,787,854 : 280,353,664 = 280,353,664 : x
  2. Step 2: Convert to fraction form
    130,787,854/280,353,664 = 280,353,664/x
  3. Step 3: Cross multiply
    130,787,854x = 280,353,664 × 280,353,664
  4. Step 4: Simplify right side
    130,787,854x = 78,598,176,918,224,896
  5. Step 5: Solve for x
    x = 78,598,176,918,224,896/130,787,854
  6. Step 6: Final answer
    x = 600,959,297.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.