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Finding the Third Proportional to 48,069,059,928 and 70,663,650,495.50

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Solution

The third proportional to 48,069,059,928 and 70,663,650,495.50 is: 103,878,700,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,069,059,928 : 70,663,650,495.50 = 70,663,650,495.50 : x
  2. Step 2: Convert to fraction form
    48,069,059,928/70,663,650,495.50 = 70,663,650,495.50/x
  3. Step 3: Cross multiply
    48,069,059,928x = 70,663,650,495.50 × 70,663,650,495.50
  4. Step 4: Simplify right side
    48,069,059,928x = 4,993,351,501,350,177,865,728
  5. Step 5: Solve for x
    x = 4,993,351,501,350,177,865,728/48,069,059,928
  6. Step 6: Final answer
    x = 103,878,700,952.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.