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Finding the Third Proportional to 1,090,104,984 and 2,391,256,641

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Solution

The third proportional to 1,090,104,984 and 2,391,256,641 is: 5,245,465,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,104,984 : 2,391,256,641 = 2,391,256,641 : x
  2. Step 2: Convert to fraction form
    1,090,104,984/2,391,256,641 = 2,391,256,641/x
  3. Step 3: Cross multiply
    1,090,104,984x = 2,391,256,641 × 2,391,256,641
  4. Step 4: Simplify right side
    1,090,104,984x = 5,718,108,323,126,602,752
  5. Step 5: Solve for x
    x = 5,718,108,323,126,602,752/1,090,104,984
  6. Step 6: Final answer
    x = 5,245,465,718.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.