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Finding the Third Proportional to 9,791,610,944 and 14,697,780,130

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Solution

The third proportional to 9,791,610,944 and 14,697,780,130 is: 22,062,226,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791,610,944 : 14,697,780,130 = 14,697,780,130 : x
  2. Step 2: Convert to fraction form
    9,791,610,944/14,697,780,130 = 14,697,780,130/x
  3. Step 3: Cross multiply
    9,791,610,944x = 14,697,780,130 × 14,697,780,130
  4. Step 4: Simplify right side
    9,791,610,944x = 216,024,740,749,822,820,352
  5. Step 5: Solve for x
    x = 216,024,740,749,822,820,352/9,791,610,944
  6. Step 6: Final answer
    x = 22,062,226,735.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.