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Finding the Third Proportional to 832,964,547,903.75 and 1,172,997,635,247

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Solution

The third proportional to 832,964,547,903.75 and 1,172,997,635,247 is: 1,651,839,151,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,964,547,903.75 : 1,172,997,635,247 = 1,172,997,635,247 : x
  2. Step 2: Convert to fraction form
    832,964,547,903.75/1,172,997,635,247 = 1,172,997,635,247/x
  3. Step 3: Cross multiply
    832,964,547,903.75x = 1,172,997,635,247 × 1,172,997,635,247
  4. Step 4: Simplify right side
    832,964,547,903.75x = 1,375,923,452,295,054,029,225,984
  5. Step 5: Solve for x
    x = 1,375,923,452,295,054,029,225,984/832,964,547,903.75
  6. Step 6: Final answer
    x = 1,651,839,151,807.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.