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Finding the Third Proportional to 577,553,748 and 1,260,943,011

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Solution

The third proportional to 577,553,748 and 1,260,943,011 is: 2,752,951,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,553,748 : 1,260,943,011 = 1,260,943,011 : x
  2. Step 2: Convert to fraction form
    577,553,748/1,260,943,011 = 1,260,943,011/x
  3. Step 3: Cross multiply
    577,553,748x = 1,260,943,011 × 1,260,943,011
  4. Step 4: Simplify right side
    577,553,748x = 1,589,977,276,989,746,176
  5. Step 5: Solve for x
    x = 1,589,977,276,989,746,176/577,553,748
  6. Step 6: Final answer
    x = 2,752,951,188.52

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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.