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Finding the Third Proportional to 16,106,368,009.50 and 35,000,683,888.50

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Solution

The third proportional to 16,106,368,009.50 and 35,000,683,888.50 is: 76,059,846,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106,368,009.50 : 35,000,683,888.50 = 35,000,683,888.50 : x
  2. Step 2: Convert to fraction form
    16,106,368,009.50/35,000,683,888.50 = 35,000,683,888.50/x
  3. Step 3: Cross multiply
    16,106,368,009.50x = 35,000,683,888.50 × 35,000,683,888.50
  4. Step 4: Simplify right side
    16,106,368,009.50x = 1,225,047,872,662,703,439,872
  5. Step 5: Solve for x
    x = 1,225,047,872,662,703,439,872/16,106,368,009.50
  6. Step 6: Final answer
    x = 76,059,846,139.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.