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Finding the Third Proportional to 532,829,660,535 and 1,150,583,128,095

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Solution

The third proportional to 532,829,660,535 and 1,150,583,128,095 is: 2,484,549,252,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,829,660,535 : 1,150,583,128,095 = 1,150,583,128,095 : x
  2. Step 2: Convert to fraction form
    532,829,660,535/1,150,583,128,095 = 1,150,583,128,095/x
  3. Step 3: Cross multiply
    532,829,660,535x = 1,150,583,128,095 × 1,150,583,128,095
  4. Step 4: Simplify right side
    532,829,660,535x = 1,323,841,534,656,875,209,949,184
  5. Step 5: Solve for x
    x = 1,323,841,534,656,875,209,949,184/532,829,660,535
  6. Step 6: Final answer
    x = 2,484,549,252,246.28

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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.