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Finding the Third Proportional to 3,155,191,517 and 6,748,053,871

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Solution

The third proportional to 3,155,191,517 and 6,748,053,871 is: 14,432,160,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155,191,517 : 6,748,053,871 = 6,748,053,871 : x
  2. Step 2: Convert to fraction form
    3,155,191,517/6,748,053,871 = 6,748,053,871/x
  3. Step 3: Cross multiply
    3,155,191,517x = 6,748,053,871 × 6,748,053,871
  4. Step 4: Simplify right side
    3,155,191,517x = 45,536,231,045,918,081,024
  5. Step 5: Solve for x
    x = 45,536,231,045,918,081,024/3,155,191,517
  6. Step 6: Final answer
    x = 14,432,160,710.55

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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.