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Finding the Third Proportional to 346,533,397,782 and 740,756,849,421

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Solution

The third proportional to 346,533,397,782 and 740,756,849,421 is: 1,583,456,929,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,533,397,782 : 740,756,849,421 = 740,756,849,421 : x
  2. Step 2: Convert to fraction form
    346,533,397,782/740,756,849,421 = 740,756,849,421/x
  3. Step 3: Cross multiply
    346,533,397,782x = 740,756,849,421 × 740,756,849,421
  4. Step 4: Simplify right side
    346,533,397,782x = 548,720,709,964,126,046,126,080
  5. Step 5: Solve for x
    x = 548,720,709,964,126,046,126,080/346,533,397,782
  6. Step 6: Final answer
    x = 1,583,456,929,335.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.