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Finding the Third Proportional to 1,539,762,128 and 3,319,895,968

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Solution

The third proportional to 1,539,762,128 and 3,319,895,968 is: 7,158,059,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,762,128 : 3,319,895,968 = 3,319,895,968 : x
  2. Step 2: Convert to fraction form
    1,539,762,128/3,319,895,968 = 3,319,895,968/x
  3. Step 3: Cross multiply
    1,539,762,128x = 3,319,895,968 × 3,319,895,968
  4. Step 4: Simplify right side
    1,539,762,128x = 11,021,709,238,342,656,000
  5. Step 5: Solve for x
    x = 11,021,709,238,342,656,000/1,539,762,128
  6. Step 6: Final answer
    x = 7,158,059,701.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.