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Finding the Third Proportional to 459,239,031 and 709,164,020.25

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Solution

The third proportional to 459,239,031 and 709,164,020.25 is: 1,095,102,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,239,031 : 709,164,020.25 = 709,164,020.25 : x
  2. Step 2: Convert to fraction form
    459,239,031/709,164,020.25 = 709,164,020.25/x
  3. Step 3: Cross multiply
    459,239,031x = 709,164,020.25 × 709,164,020.25
  4. Step 4: Simplify right side
    459,239,031x = 502,913,607,617,142,400
  5. Step 5: Solve for x
    x = 502,913,607,617,142,400/459,239,031
  6. Step 6: Final answer
    x = 1,095,102,057.25

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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.