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Finding the Third Proportional to 2,155,188,642.75 and 4,646,779,438.50

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Solution

The third proportional to 2,155,188,642.75 and 4,646,779,438.50 is: 10,018,872,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,188,642.75 : 4,646,779,438.50 = 4,646,779,438.50 : x
  2. Step 2: Convert to fraction form
    2,155,188,642.75/4,646,779,438.50 = 4,646,779,438.50/x
  3. Step 3: Cross multiply
    2,155,188,642.75x = 4,646,779,438.50 × 4,646,779,438.50
  4. Step 4: Simplify right side
    2,155,188,642.75x = 21,592,559,150,066,376,704
  5. Step 5: Solve for x
    x = 21,592,559,150,066,376,704/2,155,188,642.75
  6. Step 6: Final answer
    x = 10,018,872,001.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.