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Finding the Third Proportional to 450,602,254,890 and 954,926,817,588

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Solution

The third proportional to 450,602,254,890 and 954,926,817,588 is: 2,023,703,203,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,602,254,890 : 954,926,817,588 = 954,926,817,588 : x
  2. Step 2: Convert to fraction form
    450,602,254,890/954,926,817,588 = 954,926,817,588/x
  3. Step 3: Cross multiply
    450,602,254,890x = 954,926,817,588 × 954,926,817,588
  4. Step 4: Simplify right side
    450,602,254,890x = 911,885,226,948,745,402,253,312
  5. Step 5: Solve for x
    x = 911,885,226,948,745,402,253,312/450,602,254,890
  6. Step 6: Final answer
    x = 2,023,703,203,996.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.