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Finding the Third Proportional to 30,480,982 and 46,436,070

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Solution

The third proportional to 30,480,982 and 46,436,070 is: 70,742,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480,982 : 46,436,070 = 46,436,070 : x
  2. Step 2: Convert to fraction form
    30,480,982/46,436,070 = 46,436,070/x
  3. Step 3: Cross multiply
    30,480,982x = 46,436,070 × 46,436,070
  4. Step 4: Simplify right side
    30,480,982x = 2,156,308,597,044,900
  5. Step 5: Solve for x
    x = 2,156,308,597,044,900/30,480,982
  6. Step 6: Final answer
    x = 70,742,753.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.