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Finding the Third Proportional to 581,031,030 and 1,244,953,644

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Solution

The third proportional to 581,031,030 and 1,244,953,644 is: 2,667,516,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,031,030 : 1,244,953,644 = 1,244,953,644 : x
  2. Step 2: Convert to fraction form
    581,031,030/1,244,953,644 = 1,244,953,644/x
  3. Step 3: Cross multiply
    581,031,030x = 1,244,953,644 × 1,244,953,644
  4. Step 4: Simplify right side
    581,031,030x = 1,549,909,575,708,878,848
  5. Step 5: Solve for x
    x = 1,549,909,575,708,878,848/581,031,030
  6. Step 6: Final answer
    x = 2,667,516,011.51

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Why These Related Problems?

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