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Finding the Third Proportional to 7,174,247,312 and 10,098,518,720

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Solution

The third proportional to 7,174,247,312 and 10,098,518,720 is: 14,214,742,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,247,312 : 10,098,518,720 = 10,098,518,720 : x
  2. Step 2: Convert to fraction form
    7,174,247,312/10,098,518,720 = 10,098,518,720/x
  3. Step 3: Cross multiply
    7,174,247,312x = 10,098,518,720 × 10,098,518,720
  4. Step 4: Simplify right side
    7,174,247,312x = 101,980,080,338,190,434,304
  5. Step 5: Solve for x
    x = 101,980,080,338,190,434,304/7,174,247,312
  6. Step 6: Final answer
    x = 14,214,742,802.02

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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.