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Finding the Third Proportional to 48,476,506 and 103,671,476

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Solution

The third proportional to 48,476,506 and 103,671,476 is: 221,711,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,506 : 103,671,476 = 103,671,476 : x
  2. Step 2: Convert to fraction form
    48,476,506/103,671,476 = 103,671,476/x
  3. Step 3: Cross multiply
    48,476,506x = 103,671,476 × 103,671,476
  4. Step 4: Simplify right side
    48,476,506x = 10,747,774,936,018,576
  5. Step 5: Solve for x
    x = 10,747,774,936,018,576/48,476,506
  6. Step 6: Final answer
    x = 221,711,006.48

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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.