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Finding the Third Proportional to 530,801,980,452 and 1,169,798,307,432

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Solution

The third proportional to 530,801,980,452 and 1,169,798,307,432 is: 2,578,038,761,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,801,980,452 : 1,169,798,307,432 = 1,169,798,307,432 : x
  2. Step 2: Convert to fraction form
    530,801,980,452/1,169,798,307,432 = 1,169,798,307,432/x
  3. Step 3: Cross multiply
    530,801,980,452x = 1,169,798,307,432 × 1,169,798,307,432
  4. Step 4: Simplify right side
    530,801,980,452x = 1,368,428,080,070,771,930,562,560
  5. Step 5: Solve for x
    x = 1,368,428,080,070,771,930,562,560/530,801,980,452
  6. Step 6: Final answer
    x = 2,578,038,761,094.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.