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Finding the Third Proportional to 779,907,851,612 and 1,698,272,358,280

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Solution

The third proportional to 779,907,851,612 and 1,698,272,358,280 is: 3,698,038,168,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,907,851,612 : 1,698,272,358,280 = 1,698,272,358,280 : x
  2. Step 2: Convert to fraction form
    779,907,851,612/1,698,272,358,280 = 1,698,272,358,280/x
  3. Step 3: Cross multiply
    779,907,851,612x = 1,698,272,358,280 × 1,698,272,358,280
  4. Step 4: Simplify right side
    779,907,851,612x = 2,884,129,002,897,912,750,931,968
  5. Step 5: Solve for x
    x = 2,884,129,002,897,912,750,931,968/779,907,851,612
  6. Step 6: Final answer
    x = 3,698,038,168,145.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.