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Finding the Third Proportional to 1,615,386,428.25 and 3,457,696,254

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Solution

The third proportional to 1,615,386,428.25 and 3,457,696,254 is: 7,401,116,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,386,428.25 : 3,457,696,254 = 3,457,696,254 : x
  2. Step 2: Convert to fraction form
    1,615,386,428.25/3,457,696,254 = 3,457,696,254/x
  3. Step 3: Cross multiply
    1,615,386,428.25x = 3,457,696,254 × 3,457,696,254
  4. Step 4: Simplify right side
    1,615,386,428.25x = 11,955,663,384,925,632,512
  5. Step 5: Solve for x
    x = 11,955,663,384,925,632,512/1,615,386,428.25
  6. Step 6: Final answer
    x = 7,401,116,646.67

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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.