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Finding the Third Proportional to 626,663,100,324 and 940,657,928,214

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Solution

The third proportional to 626,663,100,324 and 940,657,928,214 is: 1,411,982,510,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,663,100,324 : 940,657,928,214 = 940,657,928,214 : x
  2. Step 2: Convert to fraction form
    626,663,100,324/940,657,928,214 = 940,657,928,214/x
  3. Step 3: Cross multiply
    626,663,100,324x = 940,657,928,214 × 940,657,928,214
  4. Step 4: Simplify right side
    626,663,100,324x = 884,837,337,911,854,779,858,944
  5. Step 5: Solve for x
    x = 884,837,337,911,854,779,858,944/626,663,100,324
  6. Step 6: Final answer
    x = 1,411,982,510,944.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.