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Finding the Third Proportional to 65,808,586,512 and 100,254,829,464

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Solution

The third proportional to 65,808,586,512 and 100,254,829,464 is: 152,731,297,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808,586,512 : 100,254,829,464 = 100,254,829,464 : x
  2. Step 2: Convert to fraction form
    65,808,586,512/100,254,829,464 = 100,254,829,464/x
  3. Step 3: Cross multiply
    65,808,586,512x = 100,254,829,464 × 100,254,829,464
  4. Step 4: Simplify right side
    65,808,586,512x = 10,051,030,830,855,722,369,024
  5. Step 5: Solve for x
    x = 10,051,030,830,855,722,369,024/65,808,586,512
  6. Step 6: Final answer
    x = 152,731,297,898.69

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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.