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Finding the Third Proportional to 45,312,501 and 97,845,129

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Solution

The third proportional to 45,312,501 and 97,845,129 is: 211,280,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312,501 : 97,845,129 = 97,845,129 : x
  2. Step 2: Convert to fraction form
    45,312,501/97,845,129 = 97,845,129/x
  3. Step 3: Cross multiply
    45,312,501x = 97,845,129 × 97,845,129
  4. Step 4: Simplify right side
    45,312,501x = 9,573,669,269,026,640
  5. Step 5: Solve for x
    x = 9,573,669,269,026,640/45,312,501
  6. Step 6: Final answer
    x = 211,280,972.31

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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.