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Finding the Third Proportional to 7,070,166,626 and 10,605,248,643

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Solution

The third proportional to 7,070,166,626 and 10,605,248,643 is: 15,907,871,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070,166,626 : 10,605,248,643 = 10,605,248,643 : x
  2. Step 2: Convert to fraction form
    7,070,166,626/10,605,248,643 = 10,605,248,643/x
  3. Step 3: Cross multiply
    7,070,166,626x = 10,605,248,643 × 10,605,248,643
  4. Step 4: Simplify right side
    7,070,166,626x = 112,471,298,779,853,340,672
  5. Step 5: Solve for x
    x = 112,471,298,779,853,340,672/7,070,166,626
  6. Step 6: Final answer
    x = 15,907,871,020.50

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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.