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Finding the Third Proportional to 2,155,188,655.69 and 4,646,779,462.69

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Solution

The third proportional to 2,155,188,655.69 and 4,646,779,462.69 is: 10,018,872,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,188,655.69 : 4,646,779,462.69 = 4,646,779,462.69 : x
  2. Step 2: Convert to fraction form
    2,155,188,655.69/4,646,779,462.69 = 4,646,779,462.69/x
  3. Step 3: Cross multiply
    2,155,188,655.69x = 4,646,779,462.69 × 4,646,779,462.69
  4. Step 4: Simplify right side
    2,155,188,655.69x = 21,592,559,374,854,332,416
  5. Step 5: Solve for x
    x = 21,592,559,374,854,332,416/2,155,188,655.69
  6. Step 6: Final answer
    x = 10,018,872,045.32

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