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Finding the Third Proportional to 249,951,587,433 and 547,655,776,032

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Solution

The third proportional to 249,951,587,433 and 547,655,776,032 is: 1,199,939,764,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,951,587,433 : 547,655,776,032 = 547,655,776,032 : x
  2. Step 2: Convert to fraction form
    249,951,587,433/547,655,776,032 = 547,655,776,032/x
  3. Step 3: Cross multiply
    249,951,587,433x = 547,655,776,032 × 547,655,776,032
  4. Step 4: Simplify right side
    249,951,587,433x = 299,926,849,021,212,157,280,256
  5. Step 5: Solve for x
    x = 299,926,849,021,212,157,280,256/249,951,587,433
  6. Step 6: Final answer
    x = 1,199,939,764,741.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.