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Finding the Third Proportional to 6,537,213,099 and 9,173,005,457

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Solution

The third proportional to 6,537,213,099 and 9,173,005,457 is: 12,871,544,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537,213,099 : 9,173,005,457 = 9,173,005,457 : x
  2. Step 2: Convert to fraction form
    6,537,213,099/9,173,005,457 = 9,173,005,457/x
  3. Step 3: Cross multiply
    6,537,213,099x = 9,173,005,457 × 9,173,005,457
  4. Step 4: Simplify right side
    6,537,213,099x = 84,144,029,114,151,780,352
  5. Step 5: Solve for x
    x = 84,144,029,114,151,780,352/6,537,213,099
  6. Step 6: Final answer
    x = 12,871,544,470.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.