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Finding the Third Proportional to 2,118,046,122 and 4,617,459,708

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Solution

The third proportional to 2,118,046,122 and 4,617,459,708 is: 10,066,321,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,046,122 : 4,617,459,708 = 4,617,459,708 : x
  2. Step 2: Convert to fraction form
    2,118,046,122/4,617,459,708 = 4,617,459,708/x
  3. Step 3: Cross multiply
    2,118,046,122x = 4,617,459,708 × 4,617,459,708
  4. Step 4: Simplify right side
    2,118,046,122x = 21,320,934,155,003,445,248
  5. Step 5: Solve for x
    x = 21,320,934,155,003,445,248/2,118,046,122
  6. Step 6: Final answer
    x = 10,066,321,943.39

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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.