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Finding the Third Proportional to 6,537,213,097 and 9,173,005,454

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Solution

The third proportional to 6,537,213,097 and 9,173,005,454 is: 12,871,544,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537,213,097 : 9,173,005,454 = 9,173,005,454 : x
  2. Step 2: Convert to fraction form
    6,537,213,097/9,173,005,454 = 9,173,005,454/x
  3. Step 3: Cross multiply
    6,537,213,097x = 9,173,005,454 × 9,173,005,454
  4. Step 4: Simplify right side
    6,537,213,097x = 84,144,029,059,113,746,432
  5. Step 5: Solve for x
    x = 84,144,029,059,113,746,432/6,537,213,097
  6. Step 6: Final answer
    x = 12,871,544,465.60

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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.