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Finding the Third Proportional to 1,615,310,608 and 3,513,638,457

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Solution

The third proportional to 1,615,310,608 and 3,513,638,457 is: 7,642,898,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,310,608 : 3,513,638,457 = 3,513,638,457 : x
  2. Step 2: Convert to fraction form
    1,615,310,608/3,513,638,457 = 3,513,638,457/x
  3. Step 3: Cross multiply
    1,615,310,608x = 3,513,638,457 × 3,513,638,457
  4. Step 4: Simplify right side
    1,615,310,608x = 12,345,655,206,509,340,672
  5. Step 5: Solve for x
    x = 12,345,655,206,509,340,672/1,615,310,608
  6. Step 6: Final answer
    x = 7,642,898,613.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.