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Finding the Third Proportional to 46,897,575,568 and 101,141,584,160

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Solution

The third proportional to 46,897,575,568 and 101,141,584,160 is: 218,126,841,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897,575,568 : 101,141,584,160 = 101,141,584,160 : x
  2. Step 2: Convert to fraction form
    46,897,575,568/101,141,584,160 = 101,141,584,160/x
  3. Step 3: Cross multiply
    46,897,575,568x = 101,141,584,160 × 101,141,584,160
  4. Step 4: Simplify right side
    46,897,575,568x = 10,229,620,046,394,363,478,016
  5. Step 5: Solve for x
    x = 10,229,620,046,394,363,478,016/46,897,575,568
  6. Step 6: Final answer
    x = 218,126,841,792.96

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