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Finding the Third Proportional to 3,300,920,526 and 4,938,294,036

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Solution

The third proportional to 3,300,920,526 and 4,938,294,036 is: 7,387,862,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300,920,526 : 4,938,294,036 = 4,938,294,036 : x
  2. Step 2: Convert to fraction form
    3,300,920,526/4,938,294,036 = 4,938,294,036/x
  3. Step 3: Cross multiply
    3,300,920,526x = 4,938,294,036 × 4,938,294,036
  4. Step 4: Simplify right side
    3,300,920,526x = 24,386,747,985,993,170,944
  5. Step 5: Solve for x
    x = 24,386,747,985,993,170,944/3,300,920,526
  6. Step 6: Final answer
    x = 7,387,862,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.