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Finding the Third Proportional to 584,700,039 and 1,300,129,582.50

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Solution

The third proportional to 584,700,039 and 1,300,129,582.50 is: 2,890,947,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,700,039 : 1,300,129,582.50 = 1,300,129,582.50 : x
  2. Step 2: Convert to fraction form
    584,700,039/1,300,129,582.50 = 1,300,129,582.50/x
  3. Step 3: Cross multiply
    584,700,039x = 1,300,129,582.50 × 1,300,129,582.50
  4. Step 4: Simplify right side
    584,700,039x = 1,690,336,931,291,624,192
  5. Step 5: Solve for x
    x = 1,690,336,931,291,624,192/584,700,039
  6. Step 6: Final answer
    x = 2,890,947,184.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.