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Finding the Third Proportional to 75,812,820 and 163,730,442

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Solution

The third proportional to 75,812,820 and 163,730,442 is: 353,603,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812,820 : 163,730,442 = 163,730,442 : x
  2. Step 2: Convert to fraction form
    75,812,820/163,730,442 = 163,730,442/x
  3. Step 3: Cross multiply
    75,812,820x = 163,730,442 × 163,730,442
  4. Step 4: Simplify right side
    75,812,820x = 26,807,657,637,515,364
  5. Step 5: Solve for x
    x = 26,807,657,637,515,364/75,812,820
  6. Step 6: Final answer
    x = 353,603,224.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.