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Finding the Third Proportional to 1,954,338,776 and 4,259,841,712

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Solution

The third proportional to 1,954,338,776 and 4,259,841,712 is: 9,285,110,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,338,776 : 4,259,841,712 = 4,259,841,712 : x
  2. Step 2: Convert to fraction form
    1,954,338,776/4,259,841,712 = 4,259,841,712/x
  3. Step 3: Cross multiply
    1,954,338,776x = 4,259,841,712 × 4,259,841,712
  4. Step 4: Simplify right side
    1,954,338,776x = 18,146,251,411,295,090,688
  5. Step 5: Solve for x
    x = 18,146,251,411,295,090,688/1,954,338,776
  6. Step 6: Final answer
    x = 9,285,110,459.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.