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Finding the Third Proportional to 1,095,745,180 and 2,346,638,408

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Solution

The third proportional to 1,095,745,180 and 2,346,638,408 is: 5,025,540,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,745,180 : 2,346,638,408 = 2,346,638,408 : x
  2. Step 2: Convert to fraction form
    1,095,745,180/2,346,638,408 = 2,346,638,408/x
  3. Step 3: Cross multiply
    1,095,745,180x = 2,346,638,408 × 2,346,638,408
  4. Step 4: Simplify right side
    1,095,745,180x = 5,506,711,817,900,774,400
  5. Step 5: Solve for x
    x = 5,506,711,817,900,774,400/1,095,745,180
  6. Step 6: Final answer
    x = 5,025,540,534.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.