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Finding the Third Proportional to 4,974,479,995,868.80 and 7,642,738,724,468

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Solution

The third proportional to 4,974,479,995,868.80 and 7,642,738,724,468 is: 11,742,223,359,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974,479,995,868.80 : 7,642,738,724,468 = 7,642,738,724,468 : x
  2. Step 2: Convert to fraction form
    4,974,479,995,868.80/7,642,738,724,468 = 7,642,738,724,468/x
  3. Step 3: Cross multiply
    4,974,479,995,868.80x = 7,642,738,724,468 × 7,642,738,724,468
  4. Step 4: Simplify right side
    4,974,479,995,868.80x = 58,411,455,210,482,751,867,191,296
  5. Step 5: Solve for x
    x = 58,411,455,210,482,751,867,191,296/4,974,479,995,868.80
  6. Step 6: Final answer
    x = 11,742,223,359,827.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.