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Finding the Third Proportional to 464,900,277 and 1,011,518,550

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Solution

The third proportional to 464,900,277 and 1,011,518,550 is: 2,200,837,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,900,277 : 1,011,518,550 = 1,011,518,550 : x
  2. Step 2: Convert to fraction form
    464,900,277/1,011,518,550 = 1,011,518,550/x
  3. Step 3: Cross multiply
    464,900,277x = 1,011,518,550 × 1,011,518,550
  4. Step 4: Simplify right side
    464,900,277x = 1,023,169,776,994,102,528
  5. Step 5: Solve for x
    x = 1,023,169,776,994,102,528/464,900,277
  6. Step 6: Final answer
    x = 2,200,837,099.08

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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.