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Finding the Third Proportional to 6,140,443,908 and 9,432,473,058

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Solution

The third proportional to 6,140,443,908 and 9,432,473,058 is: 14,489,432,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140,443,908 : 9,432,473,058 = 9,432,473,058 : x
  2. Step 2: Convert to fraction form
    6,140,443,908/9,432,473,058 = 9,432,473,058/x
  3. Step 3: Cross multiply
    6,140,443,908x = 9,432,473,058 × 9,432,473,058
  4. Step 4: Simplify right side
    6,140,443,908x = 88,971,547,989,895,872,512
  5. Step 5: Solve for x
    x = 88,971,547,989,895,872,512/6,140,443,908
  6. Step 6: Final answer
    x = 14,489,432,575.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.