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Finding the Third Proportional to 611,447,538,948.72 and 911,868,904,779.72

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Solution

The third proportional to 611,447,538,948.72 and 911,868,904,779.72 is: 1,359,895,733,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,447,538,948.72 : 911,868,904,779.72 = 911,868,904,779.72 : x
  2. Step 2: Convert to fraction form
    611,447,538,948.72/911,868,904,779.72 = 911,868,904,779.72/x
  3. Step 3: Cross multiply
    611,447,538,948.72x = 911,868,904,779.72 × 911,868,904,779.72
  4. Step 4: Simplify right side
    611,447,538,948.72x = 831,504,899,504,166,022,414,336
  5. Step 5: Solve for x
    x = 831,504,899,504,166,022,414,336/611,447,538,948.72
  6. Step 6: Final answer
    x = 1,359,895,733,546.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.