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Finding the Third Proportional to 74,112,320 and 160,982,776

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Solution

The third proportional to 74,112,320 and 160,982,776 is: 349,678,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,320 : 160,982,776 = 160,982,776 : x
  2. Step 2: Convert to fraction form
    74,112,320/160,982,776 = 160,982,776/x
  3. Step 3: Cross multiply
    74,112,320x = 160,982,776 × 160,982,776
  4. Step 4: Simplify right side
    74,112,320x = 25,915,454,168,666,176
  5. Step 5: Solve for x
    x = 25,915,454,168,666,176/74,112,320
  6. Step 6: Final answer
    x = 349,678,085.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.