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Finding the Third Proportional to 38,791,026 and 82,852,159.50

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Solution

The third proportional to 38,791,026 and 82,852,159.50 is: 176,960,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791,026 : 82,852,159.50 = 82,852,159.50 : x
  2. Step 2: Convert to fraction form
    38,791,026/82,852,159.50 = 82,852,159.50/x
  3. Step 3: Cross multiply
    38,791,026x = 82,852,159.50 × 82,852,159.50
  4. Step 4: Simplify right side
    38,791,026x = 6,864,480,333,813,440
  5. Step 5: Solve for x
    x = 6,864,480,333,813,440/38,791,026
  6. Step 6: Final answer
    x = 176,960,525.20

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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.