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Finding the Third Proportional to 6,368,075,720 and 13,779,239,632

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Solution

The third proportional to 6,368,075,720 and 13,779,239,632 is: 29,815,513,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368,075,720 : 13,779,239,632 = 13,779,239,632 : x
  2. Step 2: Convert to fraction form
    6,368,075,720/13,779,239,632 = 13,779,239,632/x
  3. Step 3: Cross multiply
    6,368,075,720x = 13,779,239,632 × 13,779,239,632
  4. Step 4: Simplify right side
    6,368,075,720x = 189,867,444,836,079,501,312
  5. Step 5: Solve for x
    x = 189,867,444,836,079,501,312/6,368,075,720
  6. Step 6: Final answer
    x = 29,815,513,066.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.