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Finding the Third Proportional to 2,712,842,946.56 and 5,818,207,201.88

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Solution

The third proportional to 2,712,842,946.56 and 5,818,207,201.88 is: 12,478,250,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712,842,946.56 : 5,818,207,201.88 = 5,818,207,201.88 : x
  2. Step 2: Convert to fraction form
    2,712,842,946.56/5,818,207,201.88 = 5,818,207,201.88/x
  3. Step 3: Cross multiply
    2,712,842,946.56x = 5,818,207,201.88 × 5,818,207,201.88
  4. Step 4: Simplify right side
    2,712,842,946.56x = 33,851,535,043,950,116,864
  5. Step 5: Solve for x
    x = 33,851,535,043,950,116,864/2,712,842,946.56
  6. Step 6: Final answer
    x = 12,478,250,938.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.