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Finding the Third Proportional to 1,011,337,026,996 and 1,461,207,357,368

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Solution

The third proportional to 1,011,337,026,996 and 1,461,207,357,368 is: 2,111,192,297,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,026,996 : 1,461,207,357,368 = 1,461,207,357,368 : x
  2. Step 2: Convert to fraction form
    1,011,337,026,996/1,461,207,357,368 = 1,461,207,357,368/x
  3. Step 3: Cross multiply
    1,011,337,026,996x = 1,461,207,357,368 × 1,461,207,357,368
  4. Step 4: Simplify right side
    1,011,337,026,996x = 2,135,126,941,226,374,149,439,488
  5. Step 5: Solve for x
    x = 2,135,126,941,226,374,149,439,488/1,011,337,026,996
  6. Step 6: Final answer
    x = 2,111,192,297,159.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.