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Finding the Third Proportional to 71,724,776 and 153,527,248

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Solution

The third proportional to 71,724,776 and 153,527,248 is: 328,625,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724,776 : 153,527,248 = 153,527,248 : x
  2. Step 2: Convert to fraction form
    71,724,776/153,527,248 = 153,527,248/x
  3. Step 3: Cross multiply
    71,724,776x = 153,527,248 × 153,527,248
  4. Step 4: Simplify right side
    71,724,776x = 23,570,615,878,453,504
  5. Step 5: Solve for x
    x = 23,570,615,878,453,504/71,724,776
  6. Step 6: Final answer
    x = 328,625,855.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.