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Finding the Third Proportional to 702,428,127 and 1,561,908,090

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Solution

The third proportional to 702,428,127 and 1,561,908,090 is: 3,473,034,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,428,127 : 1,561,908,090 = 1,561,908,090 : x
  2. Step 2: Convert to fraction form
    702,428,127/1,561,908,090 = 1,561,908,090/x
  3. Step 3: Cross multiply
    702,428,127x = 1,561,908,090 × 1,561,908,090
  4. Step 4: Simplify right side
    702,428,127x = 2,439,556,881,607,448,064
  5. Step 5: Solve for x
    x = 2,439,556,881,607,448,064/702,428,127
  6. Step 6: Final answer
    x = 3,473,034,162.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.