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Finding the Third Proportional to 346,533,397,776 and 740,756,849,409

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Solution

The third proportional to 346,533,397,776 and 740,756,849,409 is: 1,583,456,929,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,533,397,776 : 740,756,849,409 = 740,756,849,409 : x
  2. Step 2: Convert to fraction form
    346,533,397,776/740,756,849,409 = 740,756,849,409/x
  3. Step 3: Cross multiply
    346,533,397,776x = 740,756,849,409 × 740,756,849,409
  4. Step 4: Simplify right side
    346,533,397,776x = 548,720,709,946,347,901,419,520
  5. Step 5: Solve for x
    x = 548,720,709,946,347,901,419,520/346,533,397,776
  6. Step 6: Final answer
    x = 1,583,456,929,311.74

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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.