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Finding the Third Proportional to 1,028,074,070 and 1,566,216,222

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Solution

The third proportional to 1,028,074,070 and 1,566,216,222 is: 2,386,047,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,074,070 : 1,566,216,222 = 1,566,216,222 : x
  2. Step 2: Convert to fraction form
    1,028,074,070/1,566,216,222 = 1,566,216,222/x
  3. Step 3: Cross multiply
    1,028,074,070x = 1,566,216,222 × 1,566,216,222
  4. Step 4: Simplify right side
    1,028,074,070x = 2,453,033,254,055,953,408
  5. Step 5: Solve for x
    x = 2,453,033,254,055,953,408/1,028,074,070
  6. Step 6: Final answer
    x = 2,386,047,198.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.