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Finding the Third Proportional to 46,897,575,572 and 101,141,584,168

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Solution

The third proportional to 46,897,575,572 and 101,141,584,168 is: 218,126,841,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897,575,572 : 101,141,584,168 = 101,141,584,168 : x
  2. Step 2: Convert to fraction form
    46,897,575,572/101,141,584,168 = 101,141,584,168/x
  3. Step 3: Cross multiply
    46,897,575,572x = 101,141,584,168 × 101,141,584,168
  4. Step 4: Simplify right side
    46,897,575,572x = 10,229,620,048,012,628,721,664
  5. Step 5: Solve for x
    x = 10,229,620,048,012,628,721,664/46,897,575,572
  6. Step 6: Final answer
    x = 218,126,841,808.86

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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.