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Finding the Third Proportional to 14,920,931,973 and 32,359,404,129

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Solution

The third proportional to 14,920,931,973 and 32,359,404,129 is: 70,178,661,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920,931,973 : 32,359,404,129 = 32,359,404,129 : x
  2. Step 2: Convert to fraction form
    14,920,931,973/32,359,404,129 = 32,359,404,129/x
  3. Step 3: Cross multiply
    14,920,931,973x = 32,359,404,129 × 32,359,404,129
  4. Step 4: Simplify right side
    14,920,931,973x = 1,047,131,035,583,942,230,016
  5. Step 5: Solve for x
    x = 1,047,131,035,583,942,230,016/14,920,931,973
  6. Step 6: Final answer
    x = 70,178,661,592.91

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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.