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Finding the Third Proportional to 65,562,560 and 96,217,488

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Solution

The third proportional to 65,562,560 and 96,217,488 is: 141,205,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,562,560 : 96,217,488 = 96,217,488 : x
  2. Step 2: Convert to fraction form
    65,562,560/96,217,488 = 96,217,488/x
  3. Step 3: Cross multiply
    65,562,560x = 96,217,488 × 96,217,488
  4. Step 4: Simplify right side
    65,562,560x = 9,257,804,997,030,144
  5. Step 5: Solve for x
    x = 9,257,804,997,030,144/65,562,560
  6. Step 6: Final answer
    x = 141,205,666.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.