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Finding the Third Proportional to 2,155,188,654 and 4,646,779,458.75

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Solution

The third proportional to 2,155,188,654 and 4,646,779,458.75 is: 10,018,872,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,188,654 : 4,646,779,458.75 = 4,646,779,458.75 : x
  2. Step 2: Convert to fraction form
    2,155,188,654/4,646,779,458.75 = 4,646,779,458.75/x
  3. Step 3: Cross multiply
    2,155,188,654x = 4,646,779,458.75 × 4,646,779,458.75
  4. Step 4: Simplify right side
    2,155,188,654x = 21,592,559,338,260,942,848
  5. Step 5: Solve for x
    x = 21,592,559,338,260,942,848/2,155,188,654
  6. Step 6: Final answer
    x = 10,018,872,036.18

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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.