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Finding the Third Proportional to 25,812,383,502 and 55,547,398,914

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Solution

The third proportional to 25,812,383,502 and 55,547,398,914 is: 119,536,172,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812,383,502 : 55,547,398,914 = 55,547,398,914 : x
  2. Step 2: Convert to fraction form
    25,812,383,502/55,547,398,914 = 55,547,398,914/x
  3. Step 3: Cross multiply
    25,812,383,502x = 55,547,398,914 × 55,547,398,914
  4. Step 4: Simplify right side
    25,812,383,502x = 3,085,513,526,111,048,302,592
  5. Step 5: Solve for x
    x = 3,085,513,526,111,048,302,592/25,812,383,502
  6. Step 6: Final answer
    x = 119,536,172,468.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.