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Finding the Third Proportional to 500,046,196 and 1,076,895,100

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Solution

The third proportional to 500,046,196 and 1,076,895,100 is: 2,319,191,838.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,046,196 : 1,076,895,100 = 1,076,895,100 : x
  2. Step 2: Convert to fraction form
    500,046,196/1,076,895,100 = 1,076,895,100/x
  3. Step 3: Cross multiply
    500,046,196x = 1,076,895,100 × 1,076,895,100
  4. Step 4: Simplify right side
    500,046,196x = 1,159,703,056,404,009,984
  5. Step 5: Solve for x
    x = 1,159,703,056,404,009,984/500,046,196
  6. Step 6: Final answer
    x = 2,319,191,838.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.