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Finding the Third Proportional to 1,065,441,473,784 and 1,539,378,939,888

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Solution

The third proportional to 1,065,441,473,784 and 1,539,378,939,888 is: 2,224,136,734,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,441,473,784 : 1,539,378,939,888 = 1,539,378,939,888 : x
  2. Step 2: Convert to fraction form
    1,065,441,473,784/1,539,378,939,888 = 1,539,378,939,888/x
  3. Step 3: Cross multiply
    1,065,441,473,784x = 1,539,378,939,888 × 1,539,378,939,888
  4. Step 4: Simplify right side
    1,065,441,473,784x = 2,369,687,520,570,702,651,457,536
  5. Step 5: Solve for x
    x = 2,369,687,520,570,702,651,457,536/1,065,441,473,784
  6. Step 6: Final answer
    x = 2,224,136,734,751.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.