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Finding the Third Proportional to 1,414,528,916.63 and 2,975,645,745

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Solution

The third proportional to 1,414,528,916.63 and 2,975,645,745 is: 6,259,658,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,528,916.63 : 2,975,645,745 = 2,975,645,745 : x
  2. Step 2: Convert to fraction form
    1,414,528,916.63/2,975,645,745 = 2,975,645,745/x
  3. Step 3: Cross multiply
    1,414,528,916.63x = 2,975,645,745 × 2,975,645,745
  4. Step 4: Simplify right side
    1,414,528,916.63x = 8,854,467,599,736,604,672
  5. Step 5: Solve for x
    x = 8,854,467,599,736,604,672/1,414,528,916.63
  6. Step 6: Final answer
    x = 6,259,658,247.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.