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Finding the Third Proportional to 3,102,002,251,746.50 and 6,788,353,730,648.40

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Solution

The third proportional to 3,102,002,251,746.50 and 6,788,353,730,648.40 is: 14,855,484,500,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,002,251,746.50 : 6,788,353,730,648.40 = 6,788,353,730,648.40 : x
  2. Step 2: Convert to fraction form
    3,102,002,251,746.50/6,788,353,730,648.40 = 6,788,353,730,648.40/x
  3. Step 3: Cross multiply
    3,102,002,251,746.50x = 6,788,353,730,648.40 × 6,788,353,730,648.40
  4. Step 4: Simplify right side
    3,102,002,251,746.50x = 46,081,746,372,408,057,989,693,440
  5. Step 5: Solve for x
    x = 46,081,746,372,408,057,989,693,440/3,102,002,251,746.50
  6. Step 6: Final answer
    x = 14,855,484,500,845.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.