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Finding the Third Proportional to 261,680,821,748 and 569,210,831,332

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Solution

The third proportional to 261,680,821,748 and 569,210,831,332 is: 1,238,153,290,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,680,821,748 : 569,210,831,332 = 569,210,831,332 : x
  2. Step 2: Convert to fraction form
    261,680,821,748/569,210,831,332 = 569,210,831,332/x
  3. Step 3: Cross multiply
    261,680,821,748x = 569,210,831,332 × 569,210,831,332
  4. Step 4: Simplify right side
    261,680,821,748x = 324,000,970,505,666,521,202,688
  5. Step 5: Solve for x
    x = 324,000,970,505,666,521,202,688/261,680,821,748
  6. Step 6: Final answer
    x = 1,238,153,290,490.97

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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.