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Finding the Third Proportional to 1,198,866,736,178.40 and 2,588,812,038,156.40

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Solution

The third proportional to 1,198,866,736,178.40 and 2,588,812,038,156.40 is: 5,590,235,817,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,866,736,178.40 : 2,588,812,038,156.40 = 2,588,812,038,156.40 : x
  2. Step 2: Convert to fraction form
    1,198,866,736,178.40/2,588,812,038,156.40 = 2,588,812,038,156.40/x
  3. Step 3: Cross multiply
    1,198,866,736,178.40x = 2,588,812,038,156.40 × 2,588,812,038,156.40
  4. Step 4: Simplify right side
    1,198,866,736,178.40x = 6,701,947,768,903,492,867,981,312
  5. Step 5: Solve for x
    x = 6,701,947,768,903,492,867,981,312/1,198,866,736,178.40
  6. Step 6: Final answer
    x = 5,590,235,817,424.66

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