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Finding the Third Proportional to 473,178,410 and 1,035,406,406

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Solution

The third proportional to 473,178,410 and 1,035,406,406 is: 2,265,670,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,178,410 : 1,035,406,406 = 1,035,406,406 : x
  2. Step 2: Convert to fraction form
    473,178,410/1,035,406,406 = 1,035,406,406/x
  3. Step 3: Cross multiply
    473,178,410x = 1,035,406,406 × 1,035,406,406
  4. Step 4: Simplify right side
    473,178,410x = 1,072,066,425,585,836,800
  5. Step 5: Solve for x
    x = 1,072,066,425,585,836,800/473,178,410
  6. Step 6: Final answer
    x = 2,265,670,628.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.