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Finding the Third Proportional to 4,535,730,732 and 6,306,571,026

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Solution

The third proportional to 4,535,730,732 and 6,306,571,026 is: 8,768,782,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,730,732 : 6,306,571,026 = 6,306,571,026 : x
  2. Step 2: Convert to fraction form
    4,535,730,732/6,306,571,026 = 6,306,571,026/x
  3. Step 3: Cross multiply
    4,535,730,732x = 6,306,571,026 × 6,306,571,026
  4. Step 4: Simplify right side
    4,535,730,732x = 39,772,838,105,982,689,280
  5. Step 5: Solve for x
    x = 39,772,838,105,982,689,280/4,535,730,732
  6. Step 6: Final answer
    x = 8,768,782,905.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.