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Finding the Third Proportional to 459,239,033 and 709,164,023

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Solution

The third proportional to 459,239,033 and 709,164,023 is: 1,095,102,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,239,033 : 709,164,023 = 709,164,023 : x
  2. Step 2: Convert to fraction form
    459,239,033/709,164,023 = 709,164,023/x
  3. Step 3: Cross multiply
    459,239,033x = 709,164,023 × 709,164,023
  4. Step 4: Simplify right side
    459,239,033x = 502,913,611,517,544,512
  5. Step 5: Solve for x
    x = 502,913,611,517,544,512/459,239,033
  6. Step 6: Final answer
    x = 1,095,102,060.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.