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Finding the Third Proportional to 35,834,904 and 77,641,776

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Solution

The third proportional to 35,834,904 and 77,641,776 is: 168,222,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834,904 : 77,641,776 = 77,641,776 : x
  2. Step 2: Convert to fraction form
    35,834,904/77,641,776 = 77,641,776/x
  3. Step 3: Cross multiply
    35,834,904x = 77,641,776 × 77,641,776
  4. Step 4: Simplify right side
    35,834,904x = 6,028,245,380,434,176
  5. Step 5: Solve for x
    x = 6,028,245,380,434,176/35,834,904
  6. Step 6: Final answer
    x = 168,222,730.01

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