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Finding the Third Proportional to 34,898,688 and 53,292,816

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Solution

The third proportional to 34,898,688 and 53,292,816 is: 81,381,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,898,688 : 53,292,816 = 53,292,816 : x
  2. Step 2: Convert to fraction form
    34,898,688/53,292,816 = 53,292,816/x
  3. Step 3: Cross multiply
    34,898,688x = 53,292,816 × 53,292,816
  4. Step 4: Simplify right side
    34,898,688x = 2,840,124,237,209,856
  5. Step 5: Solve for x
    x = 2,840,124,237,209,856/34,898,688
  6. Step 6: Final answer
    x = 81,381,977.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.