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Finding the Third Proportional to 30,452,909,696 and 46,554,645,684

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Solution

The third proportional to 30,452,909,696 and 46,554,645,684 is: 71,170,047,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,909,696 : 46,554,645,684 = 46,554,645,684 : x
  2. Step 2: Convert to fraction form
    30,452,909,696/46,554,645,684 = 46,554,645,684/x
  3. Step 3: Cross multiply
    30,452,909,696x = 46,554,645,684 × 46,554,645,684
  4. Step 4: Simplify right side
    30,452,909,696x = 2,167,335,034,762,779,951,104
  5. Step 5: Solve for x
    x = 2,167,335,034,762,779,951,104/30,452,909,696
  6. Step 6: Final answer
    x = 71,170,047,670.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.