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Finding the Third Proportional to 774,967,146 and 1,196,716,210.50

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Solution

The third proportional to 774,967,146 and 1,196,716,210.50 is: 1,847,987,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,967,146 : 1,196,716,210.50 = 1,196,716,210.50 : x
  2. Step 2: Convert to fraction form
    774,967,146/1,196,716,210.50 = 1,196,716,210.50/x
  3. Step 3: Cross multiply
    774,967,146x = 1,196,716,210.50 × 1,196,716,210.50
  4. Step 4: Simplify right side
    774,967,146x = 1,432,129,688,473,480,192
  5. Step 5: Solve for x
    x = 1,432,129,688,473,480,192/774,967,146
  6. Step 6: Final answer
    x = 1,847,987,615.82

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