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Finding the Third Proportional to 838,750,212 and 1,312,884,900

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Solution

The third proportional to 838,750,212 and 1,312,884,900 is: 2,055,041,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,750,212 : 1,312,884,900 = 1,312,884,900 : x
  2. Step 2: Convert to fraction form
    838,750,212/1,312,884,900 = 1,312,884,900/x
  3. Step 3: Cross multiply
    838,750,212x = 1,312,884,900 × 1,312,884,900
  4. Step 4: Simplify right side
    838,750,212x = 1,723,666,760,648,009,984
  5. Step 5: Solve for x
    x = 1,723,666,760,648,009,984/838,750,212
  6. Step 6: Final answer
    x = 2,055,041,818.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.