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Finding the Third Proportional to 716,742,262,491.20 and 1,535,718,020,968.10

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Solution

The third proportional to 716,742,262,491.20 and 1,535,718,020,968.10 is: 3,290,485,246,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,742,262,491.20 : 1,535,718,020,968.10 = 1,535,718,020,968.10 : x
  2. Step 2: Convert to fraction form
    716,742,262,491.20/1,535,718,020,968.10 = 1,535,718,020,968.10/x
  3. Step 3: Cross multiply
    716,742,262,491.20x = 1,535,718,020,968.10 × 1,535,718,020,968.10
  4. Step 4: Simplify right side
    716,742,262,491.20x = 2,358,429,839,926,178,040,774,656
  5. Step 5: Solve for x
    x = 2,358,429,839,926,178,040,774,656/716,742,262,491.20
  6. Step 6: Final answer
    x = 3,290,485,246,019.85

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