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Finding the Third Proportional to 45,312,493 and 97,845,113

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Solution

The third proportional to 45,312,493 and 97,845,113 is: 211,280,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312,493 : 97,845,113 = 97,845,113 : x
  2. Step 2: Convert to fraction form
    45,312,493/97,845,113 = 97,845,113/x
  3. Step 3: Cross multiply
    45,312,493x = 97,845,113 × 97,845,113
  4. Step 4: Simplify right side
    45,312,493x = 9,573,666,137,982,768
  5. Step 5: Solve for x
    x = 9,573,666,137,982,768/45,312,493
  6. Step 6: Final answer
    x = 211,280,940.51

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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.