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Finding the Third Proportional to 217,917,776,052 and 306,742,525,506

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Solution

The third proportional to 217,917,776,052 and 306,742,525,506 is: 431,772,839,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,917,776,052 : 306,742,525,506 = 306,742,525,506 : x
  2. Step 2: Convert to fraction form
    217,917,776,052/306,742,525,506 = 306,742,525,506/x
  3. Step 3: Cross multiply
    217,917,776,052x = 306,742,525,506 × 306,742,525,506
  4. Step 4: Simplify right side
    217,917,776,052x = 94,090,976,953,799,062,585,344
  5. Step 5: Solve for x
    x = 94,090,976,953,799,062,585,344/217,917,776,052
  6. Step 6: Final answer
    x = 431,772,839,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.