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Finding the Third Proportional to 2,711,582,712 and 5,875,666,602

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Solution

The third proportional to 2,711,582,712 and 5,875,666,602 is: 12,731,847,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,582,712 : 5,875,666,602 = 5,875,666,602 : x
  2. Step 2: Convert to fraction form
    2,711,582,712/5,875,666,602 = 5,875,666,602/x
  3. Step 3: Cross multiply
    2,711,582,712x = 5,875,666,602 × 5,875,666,602
  4. Step 4: Simplify right side
    2,711,582,712x = 34,523,458,017,858,228,224
  5. Step 5: Solve for x
    x = 34,523,458,017,858,228,224/2,711,582,712
  6. Step 6: Final answer
    x = 12,731,847,664.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.