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Finding the Third Proportional to 5,072,530,478 and 10,287,688,984

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Solution

The third proportional to 5,072,530,478 and 10,287,688,984 is: 20,864,644,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072,530,478 : 10,287,688,984 = 10,287,688,984 : x
  2. Step 2: Convert to fraction form
    5,072,530,478/10,287,688,984 = 10,287,688,984/x
  3. Step 3: Cross multiply
    5,072,530,478x = 10,287,688,984 × 10,287,688,984
  4. Step 4: Simplify right side
    5,072,530,478x = 105,836,544,631,514,955,776
  5. Step 5: Solve for x
    x = 105,836,544,631,514,955,776/5,072,530,478
  6. Step 6: Final answer
    x = 20,864,644,399.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.