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Finding the Third Proportional to 72,540,064 and 153,267,607

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Solution

The third proportional to 72,540,064 and 153,267,607 is: 323,834,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,540,064 : 153,267,607 = 153,267,607 : x
  2. Step 2: Convert to fraction form
    72,540,064/153,267,607 = 153,267,607/x
  3. Step 3: Cross multiply
    72,540,064x = 153,267,607 × 153,267,607
  4. Step 4: Simplify right side
    72,540,064x = 23,490,959,355,506,448
  5. Step 5: Solve for x
    x = 23,490,959,355,506,448/72,540,064
  6. Step 6: Final answer
    x = 323,834,279.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.