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Finding the Third Proportional to 977,169,426 and 2,129,920,926

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Solution

The third proportional to 977,169,426 and 2,129,920,926 is: 4,642,555,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,169,426 : 2,129,920,926 = 2,129,920,926 : x
  2. Step 2: Convert to fraction form
    977,169,426/2,129,920,926 = 2,129,920,926/x
  3. Step 3: Cross multiply
    977,169,426x = 2,129,920,926 × 2,129,920,926
  4. Step 4: Simplify right side
    977,169,426x = 4,536,563,151,012,697,600
  5. Step 5: Solve for x
    x = 4,536,563,151,012,697,600/977,169,426
  6. Step 6: Final answer
    x = 4,642,555,354.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.