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Finding the Third Proportional to 346,533,397,786 and 740,756,849,430

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Solution

The third proportional to 346,533,397,786 and 740,756,849,430 is: 1,583,456,929,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,533,397,786 : 740,756,849,430 = 740,756,849,430 : x
  2. Step 2: Convert to fraction form
    346,533,397,786/740,756,849,430 = 740,756,849,430/x
  3. Step 3: Cross multiply
    346,533,397,786x = 740,756,849,430 × 740,756,849,430
  4. Step 4: Simplify right side
    346,533,397,786x = 548,720,709,977,459,704,987,648
  5. Step 5: Solve for x
    x = 548,720,709,977,459,704,987,648/346,533,397,786
  6. Step 6: Final answer
    x = 1,583,456,929,355.82

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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.