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Finding the Third Proportional to 2,366,421,344 and 3,692,890,848

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Solution

The third proportional to 2,366,421,344 and 3,692,890,848 is: 5,762,897,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,421,344 : 3,692,890,848 = 3,692,890,848 : x
  2. Step 2: Convert to fraction form
    2,366,421,344/3,692,890,848 = 3,692,890,848/x
  3. Step 3: Cross multiply
    2,366,421,344x = 3,692,890,848 × 3,692,890,848
  4. Step 4: Simplify right side
    2,366,421,344x = 13,637,442,815,242,158,080
  5. Step 5: Solve for x
    x = 13,637,442,815,242,158,080/2,366,421,344
  6. Step 6: Final answer
    x = 5,762,897,148.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.