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Finding the Third Proportional to 64,616,484 and 96,972,030

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Solution

The third proportional to 64,616,484 and 96,972,030 is: 145,529,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616,484 : 96,972,030 = 96,972,030 : x
  2. Step 2: Convert to fraction form
    64,616,484/96,972,030 = 96,972,030/x
  3. Step 3: Cross multiply
    64,616,484x = 96,972,030 × 96,972,030
  4. Step 4: Simplify right side
    64,616,484x = 9,403,574,602,320,900
  5. Step 5: Solve for x
    x = 9,403,574,602,320,900/64,616,484
  6. Step 6: Final answer
    x = 145,529,035.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.