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Finding the Third Proportional to 1,293,657,563,479.40 and 2,793,868,113,967.40

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Solution

The third proportional to 1,293,657,563,479.40 and 2,793,868,113,967.40 is: 6,033,821,668,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,657,563,479.40 : 2,793,868,113,967.40 = 2,793,868,113,967.40 : x
  2. Step 2: Convert to fraction form
    1,293,657,563,479.40/2,793,868,113,967.40 = 2,793,868,113,967.40/x
  3. Step 3: Cross multiply
    1,293,657,563,479.40x = 2,793,868,113,967.40 × 2,793,868,113,967.40
  4. Step 4: Simplify right side
    1,293,657,563,479.40x = 7,805,699,038,243,756,714,229,760
  5. Step 5: Solve for x
    x = 7,805,699,038,243,756,714,229,760/1,293,657,563,479.40
  6. Step 6: Final answer
    x = 6,033,821,668,579.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.