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Finding the Third Proportional to 43,785,072,506 and 95,595,967,318

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Solution

The third proportional to 43,785,072,506 and 95,595,967,318 is: 208,714,715,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785,072,506 : 95,595,967,318 = 95,595,967,318 : x
  2. Step 2: Convert to fraction form
    43,785,072,506/95,595,967,318 = 95,595,967,318/x
  3. Step 3: Cross multiply
    43,785,072,506x = 95,595,967,318 × 95,595,967,318
  4. Step 4: Simplify right side
    43,785,072,506x = 9,138,588,967,464,124,547,072
  5. Step 5: Solve for x
    x = 9,138,588,967,464,124,547,072/43,785,072,506
  6. Step 6: Final answer
    x = 208,714,715,870.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.