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Finding the Third Proportional to 585,417,133 and 1,272,867,050

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Solution

The third proportional to 585,417,133 and 1,272,867,050 is: 2,767,583,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,417,133 : 1,272,867,050 = 1,272,867,050 : x
  2. Step 2: Convert to fraction form
    585,417,133/1,272,867,050 = 1,272,867,050/x
  3. Step 3: Cross multiply
    585,417,133x = 1,272,867,050 × 1,272,867,050
  4. Step 4: Simplify right side
    585,417,133x = 1,620,190,526,975,702,528
  5. Step 5: Solve for x
    x = 1,620,190,526,975,702,528/585,417,133
  6. Step 6: Final answer
    x = 2,767,583,037.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.