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Finding the Third Proportional to 716,742,262,425 and 1,535,718,020,772

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Solution

The third proportional to 716,742,262,425 and 1,535,718,020,772 is: 3,290,485,245,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,742,262,425 : 1,535,718,020,772 = 1,535,718,020,772 : x
  2. Step 2: Convert to fraction form
    716,742,262,425/1,535,718,020,772 = 1,535,718,020,772/x
  3. Step 3: Cross multiply
    716,742,262,425x = 1,535,718,020,772 × 1,535,718,020,772
  4. Step 4: Simplify right side
    716,742,262,425x = 2,358,429,839,323,869,007,052,800
  5. Step 5: Solve for x
    x = 2,358,429,839,323,869,007,052,800/716,742,262,425
  6. Step 6: Final answer
    x = 3,290,485,245,483.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.