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Finding the Third Proportional to 29,802,475,972 and 45,808,542,240

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Solution

The third proportional to 29,802,475,972 and 45,808,542,240 is: 70,411,013,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802,475,972 : 45,808,542,240 = 45,808,542,240 : x
  2. Step 2: Convert to fraction form
    29,802,475,972/45,808,542,240 = 45,808,542,240/x
  3. Step 3: Cross multiply
    29,802,475,972x = 45,808,542,240 × 45,808,542,240
  4. Step 4: Simplify right side
    29,802,475,972x = 2,098,422,542,153,864,183,808
  5. Step 5: Solve for x
    x = 2,098,422,542,153,864,183,808/29,802,475,972
  6. Step 6: Final answer
    x = 70,411,013,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.