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Finding the Third Proportional to 40,563,580,148 and 86,709,535,144

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Solution

The third proportional to 40,563,580,148 and 86,709,535,144 is: 185,352,068,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,563,580,148 : 86,709,535,144 = 86,709,535,144 : x
  2. Step 2: Convert to fraction form
    40,563,580,148/86,709,535,144 = 86,709,535,144/x
  3. Step 3: Cross multiply
    40,563,580,148x = 86,709,535,144 × 86,709,535,144
  4. Step 4: Simplify right side
    40,563,580,148x = 7,518,543,484,888,571,445,248
  5. Step 5: Solve for x
    x = 7,518,543,484,888,571,445,248/40,563,580,148
  6. Step 6: Final answer
    x = 185,352,068,467.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.