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Finding the Third Proportional to 5,886,908,830.50 and 9,048,600,931.50

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Solution

The third proportional to 5,886,908,830.50 and 9,048,600,931.50 is: 13,908,348,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886,908,830.50 : 9,048,600,931.50 = 9,048,600,931.50 : x
  2. Step 2: Convert to fraction form
    5,886,908,830.50/9,048,600,931.50 = 9,048,600,931.50/x
  3. Step 3: Cross multiply
    5,886,908,830.50x = 9,048,600,931.50 × 9,048,600,931.50
  4. Step 4: Simplify right side
    5,886,908,830.50x = 81,877,178,817,542,668,288
  5. Step 5: Solve for x
    x = 81,877,178,817,542,668,288/5,886,908,830.50
  6. Step 6: Final answer
    x = 13,908,348,366.69

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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.