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Finding the Third Proportional to 49,518,334,693.50 and 108,764,679,639

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Solution

The third proportional to 49,518,334,693.50 and 108,764,679,639 is: 238,896,473,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518,334,693.50 : 108,764,679,639 = 108,764,679,639 : x
  2. Step 2: Convert to fraction form
    49,518,334,693.50/108,764,679,639 = 108,764,679,639/x
  3. Step 3: Cross multiply
    49,518,334,693.50x = 108,764,679,639 × 108,764,679,639
  4. Step 4: Simplify right side
    49,518,334,693.50x = 11,829,755,536,974,301,626,368
  5. Step 5: Solve for x
    x = 11,829,755,536,974,301,626,368/49,518,334,693.50
  6. Step 6: Final answer
    x = 238,896,473,603.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.